By Team Aakash Byju's | 13th January 2023

How to Solve Logical Reasoning Linear Equations with One Variable?

The digit in the ten's place of a two-digit number is 3 more than the digit in the unit’s place. Let the digit at the unit's place be b. Then the number is

A

B

C

D

10b+3

11b+3

11b+30

10b+30

Detailed Explanation

The correct answer is C. 11b+30.

Arrow

Firstly, let us write the condition for each digit of the two-digit number.

Ten

Unit

b+3

b

b and b+3 are just the face values of the number. Now, we need to find their place values.

Ten

Unit

b+3

b

The place value of the digit in the unit’s place is 1 => 1×(b) = b.

Ten

Unit

b+3

b

The place value of the digit in the ten’s place is  10 => 10×(b+3) = 10b + 30.

The number can be found by adding the place values of both digits. So, the number is

Ten

Unit

b+3

b

=> (10b + 30) + b = 11b + 30.