Question

The sum of two numbers, x and y, is 142. Their difference is 14. Write a system of equations for the scenario and solve.

Answer 1

The Solution is x=78 and y = 64

Explanation:

The sum of two numbers, x and y, is 142.

So, x+y=142 ---- 1

We are given that their difference is 14.

So, x-y=14 ---- 2

Add 1 and 2

2x=142+14

2x=156

`x=(156)/(2)`

x=78

Substitute the value of x in 2

So,78-y=14

78-14=y

64=y

Hence The Solution is x=78 and y = 64