SSC MTS 2022 PYQ — Question 61

SSC MTS - 18 July 2022 - Shift 2 • Quantitative Aptitude • Q61

There are two numbers such that the first number is twice the second number. If their average is 30, then what is the positive difference between the two numbers?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 20.

Average = Sum of the numbers/total numbers

Let the second number be x.

According to the given question, first number = 2x.

Average = (x + 2x)/2

⇒ 30 = 3x/2

⇒ 60 = 3x 

⇒ x = 20

Now the first number = 2 × 20 = 40

and the second number = x = 20

Difference = 40 - 20 = 20.

Hence the required difference is 20.