The difference between two numbers is 15. Taking the smaller numb… - Vidyadip

Question

The difference between two numbers is 15. Taking the smaller number as x; find:

(i) the expression for the larger number.

(ii) the larger number, if the sum of these numbers is 71.

✓

Answer

Difference of two numbers = 15
Let smaller number = x
∴ Second number = x + 15
∴ Larger number = x + 15
If sum of two numbers = 71
Then x + x + 15 = 71
(i) 2x + 15 = 71
⇒ 2x = 71 - 15 = 56
$x=\frac{56}{2}=28$
(ii) Larger number = x + 15 = 28 + 15 = 43

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