1.

If the sum of two numbers is 25 and one of those numbers is sum of 7 and half times that of the second number. Find the difference between, twice the larger number and twice the smaller number.1. 52. 103. 44. 2

Answer» Correct Answer - Option 4 : 2

Given

Sum of two numbers is 25

Calculation

Let the one number be x

And the second number be y

According to question

x + y = 25

⇒ x = 25 - y    ---- (1)

x = (1/2)y + 7     ---- (2)

From (1) and (2)

⇒ 25 - y = (1/2)y + 7

⇒ 25 - 7 = (1/2)y + y

⇒ 18 = 3y/2

⇒ y = (18 × 2)/3

⇒ y = 12

⇒ x = 25 - 12

⇒ x = 13

Now, required difference = 2(larger number) - 2(smaller number)

⇒ 2(13) - 2(12)

⇒ 26 - 24 = 2

∴ The required difference is 2.


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