Question : By interchanging the digits of a two-digit number, we get a number which is four times the original number minus 24. If the digit at the unit's place of the original number exceeds its digit at ten's place by 7, then the original number is:
Option 1: 29
Option 2: 36
Option 3: 58
Option 4: 18
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 29
Solution : Let the digit in the ten's place and the digit in the unit's place be x and y respectively. Then the original number = 10x + y and the new number = 10y + x. According to the question, 10y + x = 4(10x + y) – 24 or, 10y + x = 40x + 4y– 24 or, 39x – 6y = 24 or, 13x – 2y = 8 -------------------------------(1) Also, given that y – x = 7 so, y = x + 7 -----------------------------------(2) Now, putting the value of y in (1) 13x – 2(x + 7) = 8 or, 13x – 2x – 14 = 8 or, 11x = 22 or, x = 2 Now, from (2) we get, y = 2 + 7 or, y = 9 Putting the value of x and y in the original number, we get, 10x + y = (10 × 2) + 9 = 29 Hence, the correct answer is 29.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : In a two-digit number, the digit at unit's place is 1 less than twice the digit at the ten's place. If the digit at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The
Question : In a two-digit number, the digit at the unit place is 1 less than twice the digit at the tens place. If the digits at the units place and tens places are interchanged, the difference between the new and the original number is less than the original number by 20. The original
Question : There is a number consisting of two digits. The digit in the unit's place is twice that of the ten's place and if 2 is subtracted from the sum of the digits, the difference is equal to $\frac{1}{6}$th of the number. The number is:
Question : The product of the digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchanging the digits. What is the original number?
Question : The product of the digits of a two-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchanging the digits. What is the original number?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile