A number consists of two digits. the digit at the ten’s place is two times the digit at the one’s place. the number, formed by reversing the digits is 27 less than the original number. then the original number is

8. A number consists of two digits. The digit at ten's place is two times the digit at the unit's place. The number formed by reversing the digits, is 27 less than the HOTS Questions original number. Find the original number. 1. A man has a certain number of 5 -rupee coins, 2 -rupee 9. 300 is divided into two parts such that half of one part is coins, 1-rupee coins and 50 -paise coins. The number of less than the other by 48 . Find the two parts. 5 - rupee coins is 7 less than 2-rupee coins, the number 10. One number is three times another. If the larger number of 1 -rupee coins is 15 more than 5 -rupee coins and is subtracted from 60 , the result is 5 less than the smaller 2-ruper of 50 -paise coins is twice the number of number subtracted from 55. Find the numbers. 2-rupee coins. If a man has ₹198 in all, find the number 11. Two trains, one travelling 15 km / hr faster than the other, 2. Advanced purchase tickets to an art exhibition cost ₹4, leave the same station at the same time, one travelling while tickets purchased at the door cost ₹6. If a total east and the other west. At the end of 6 hours they are of 150 tickets were sold and ₹680 was collected, how 570 km apart. What is the speed of each train? 12. The perimeter of a rectangle is 40 cm. The ratio of its many advanced purchase tickets were sold? side is 2 : 3. Find its length & breadth. Am in of silver and gold weighs 90 gm in air and 84 13. A lady has 25 p and 50 p coins in her purse. If in all she has 40 coin...

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Given Information: - The number consists of two digits. - The digit in the tens place is 3 times the digit in the units place. - When 54 is subtracted from the number, the digits are reversed. To find: The number Solution: Let the number be 10x + y, where x is the digit in the tens place and y is the digit in the units place. From the given information, we know that: - x = 3y (since the digit in the tens place is 3 times the digit in the units place) - 10x + y - 54 = 10y + x (since when 54 is subtracted from the number, the digits are reversed) Simplifying the second equation, we get: 10x + y - 54 = 10y + x 9x - 9y = 54 x - y = 6 Substituting x = 3y in the above equation, we get: 3y - y = 6 2y = 6 y = 3 Therefore, x = 3y = 9. Hence, the number is 93, which is option (c). Final Answer: Option (c) 93 Let the two digit number = 10x + y:"the ten's place is 3 times the digit in the unit place"x = 3y:"if 54 is subtracted from the number the digits are reversed."10x + y - 54 = 10y + x10x - x = 10y - y + 549x = 9y + 54simplify, divide by 9x = y + 6Replace x with 3y3y = y + 63y - y = 62y = 6y = 3thenx = 3(3)x = 9:93 is the number:Or if u go by logic Check solution in the statement:"if 54 is subtracted from the number the digits are reversed."93 - 54 = 39 Question Description A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number isa)39b)92c)93d)94Correct answer ...

SOLUTION: Q no:1) A number consists of two digits . The digit at ten's place is 4 times the digit at unit's place . On changing the place of digits , the new number is formed is 54 less than SOLUTION: Q no:1) A number consists of two digits . The digit at ten's place is 4 times the digit at unit's place . On changing the place of digits , the new number is formed is 54 less than

SOLUTION: A number consists of two digits such that the digit in ten's place is less by 2 than the digit in the units place. Three times the number added to 6/7 times the number obtained b SOLUTION: A number consists of two digits such that the digit in ten's place is less by 2 than the digit in the units place. Three times the number added to 6/7 times the number obtained b You can Let the tens digit = Let the units digit = The value of the number is: ------------------------- (1) (2) ------------------------------------------ (2) (2) (2) (2) (2) and, by substitution: (2) (2) (2) (2) and, since (1) (1) (1) ------------- The number is The sum of the digits is ------------------------------ check answer: (2) (2) (2) (2) (2) OK

Description for Correct answer: Let the unit's digits be x then ten's digit be x + 5 Number \( \Large =10(x+5)+x=10x+50+x=11x+50 \) Digits are reversed \( \Large =10x+x+5 \) According to question \( \Large 11x+50-5(2x+5)=10x+x+5 \) \( \Large x+25=11x+5 \) \( \Large 10x=20 \) \( \Large x=2 \) Sum of digits \( \Large =2x+5=2 \times 2+5=9 \) Part of solved Number series questions and answers : Login to Bookmark Previous Question Next Question Report Error 1). In a three-digit number, the digit at the hundred's place is two times the digit at the unit's place and the sum of the digits is 18. If the digits are reversed, the number is reduced by 396. The difference of hundred's and ten's digit of the number is: A). 1 B). 2 C). 3 D). 5 -- View Answer 2). If the digits in the unit and the ten's places of a Two digit number are interchanged, a . new number is formed, which is greater than the original number by 63. Suppose the digit in the unit place of the original number the x. Then, all the possible values of x are A). 7, 8, 9 B). 2, 7, 9 C). 0, 1, 2 D). 1, 2, 8 -- View Answer 3). The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there ? A). 5 B). 6 C). 7 D). 8 -- View Answer 4). Which of the following numbers will always divide a six-digit number of the form xyxyxy \( \Large (where\ 1\leq x \leq 9,\ 1\leq y\leq 9) \)? A). 1010 B). 10101 C). 11011 D). 11010 -- View Answer 5). The least number of five digit...