Question

The sum of two numbers is 87. the difference of two numbers is 65 what are the two numbers

Answer 1

11, 76

Explanation:

Let the two numbers be x and y.

According to the given conditions:

x + y = 87.....(1)

x - y = 65....(2)

Adding equations (1) & (2)

x + y = 87

x - y = 65

__________

2x = 152

x = 152/2

x = 76

Plug x = 76 in equation (1)

76 + y = 87

y = 87 - 76

y = 11

Thus the two numbers are 11 and 76.

Answer 2

Explanation:

Let the two numbers be x and y

By the question

x + y = 87 ..... equation (I)

x - y = 65 ...... equation (II)

Now adding both equations we get

2x = 152

x = 152 / 2

Therefore x = 76

Putting x = 76 in equation i

76 + y = 87

y = 87 - 76

Therefore y = 11

The two numbers are 76 and 11.

Hope it helps :)