WORD PROBLEMS 3

The difference between two numbers is 21 and their sum is 683. Find the two numbers.

Solution

Let the two numbers be x and y.

x – y = 21 ----------- (i)

x +y = 683 ------------(ii)

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From (i)

 x – y = 21

x = 21+ y -------------- (iii)

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Substitute (iii) in (ii) above.

x +y = 683. ------------(ii)

(21+ y) +y = 683

21 + 2y = 683

2y = 683 - 21

2y = 662

¹2y = 662³³¹

₁2      2₁

y = 331

from (iii)

x = 21+ y

x = 21+ 331

x = 352

Hence the two numbers are 331 and 352.

TRY THIS…………………………………   

The difference between two numbers is 33 and their sum is 167. Find the two numbers.