Question

The sum of two numbers is 210 and their difference is 30. What are the two numbers?

Answer 1

We take the 2 numbers as 'x' and 'x-30' in order to find those numbers

We plug the values into the given equation

`x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = (240)/(2) \\x = 120\\x - 30 = 120 - 30 = 90\\`

`120 - 90 = 30`

Hence , the two numbers are 120 and 90

Answer 2

120 and 90

Explanation:

let one number be x and the other y

x + y = 210 (sum = 210)

x - y = 30 (difference = 30)

add the two equations together

2x = 240

divide both sides by 2 to isolate x

x = 120

plug into 1st equation

120 + y = 210

subtract 120 from both sides

y = 90