the sum of two numbers is 19 and their difference is 9 what is the answer

Answer 1

Hello, Chloe,

Call the two numbers X and Y. Then write out what the problem states:

X + Y = 19, and

X - Y = 9

Rearrange the second to: X = Y + 9, and then use that in the first equation:

(Y + 9) + Y = 19

2Y + 9 = 19

2Y = 10

Y = 5

Use this in either equation to find X:

X + 5 = 19

X = 14

See if the two numbers work in the two equations.

Bob