The sum of two numbers is 90. If one of them exceeds the other by 16, find both the numbers?

This question was previously asked in
RRC Group D Previous Paper 41 (Held On: 16 Oct 2018 Shift 2)
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  1. 50, 40
  2. 53, 37
  3. 64, 48
  4. 43, 47

Answer (Detailed Solution Below)

Option 2 : 53, 37
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RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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GIVEN:

Sum of two numbers is 90

One number exceeds the second by 16

CONCEPT:

Here we need to form an equation in one variable to get one number and the other number can be hence found.

CALCULATION:

Let the two numbers be x and x + 16.

According to the question,

x + x + 16 = 90

⇒ 2x = 74

⇒ x = 37 and x + 16 = 53

∴ Two numbers are 37 and 53

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