Question

Find the value of two numbers if their sum is 170 and their difference is 144.

Answer 1

x + y = 144
x - y = 22
2x = 166
x = 83
83 + y = 144
y = 144 - 83
y = 61

Answer 2

The two numbers are 157 and 13

Explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

-------------------

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13