WORD PROBLEMS 2

The difference between two numbers is 10 and their sum is 680. Find the two numbers.

Solution

Let the two numbers be x and y.

x – y = 10 ----------- (i)

x +y = 680. ------------(ii)

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From (i)

 x – y = 10

x = 10+ y -------------- (iii)

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Substitute (iii) in (ii) above.

x +y = 680. ------------(ii)

(10+ y) +y = 680

10 + 2y = 680

2y = 680 - 10

2y = 670

¹2y = 670³³⁵

₁2      2₁

y = 335

from (iii)

x = 7+ y

x = 7+ 335

x = 342

Hence the two numbers are 335 and 342.

TRY THIS…………………………

The difference between two numbers is 10 and their sum is 226. Find the two numbers.