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 original number is:
Option 1: $59$
Option 2: $23$
Option 3: $35$
Option 4: $47$
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: $47$
Solution : Let the tens digit be $x$ so the unit digit is $(2x - 1)$. Original number = $10x + 2x - 1= 12x - 1$. After the interchange, new number = $10(2x - 1) + x = 20x - 10 + x = 21x –10$. The difference between the new and the original numbers is $(21x - 10) - (12x - 1) = 9x - 9$. According to the question, $9x - 9 = (12x - 1) -20$ ⇒ $12x - 9x = 21 - 9$ ⇒ $3x = 12$ ⇒ $x = 4$ Therefore, the tens digit is $4$ and the unit digit is $(2 × 4) - 1 = 7$. Hence, the original number = $(4 × 10) + 7 = 47$.
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 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 : 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:
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 : Directions: There are five friends I, J, K, L, and M. K's income is more than L's income but less than M's income. J's income is the least. I's income is less than K's income. Whose income is the maximum?
Question : Directions: If the age of Rahul is 5 years more than his friend Ajay's age, the age of Rahul's wife is 6 years less than Rahul's, and Ajay's wife is 1 year older than Rahul's wife, then which of the following statements is true?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile