Question

The sum of two numbers equals 49.The sum of the larger number and twice the smaller number is 70. what are the numbers.

Tell me the steps!

Answer 1

`x + y = 49 \\ x + 2y = 70`


`x = 49 - y`

Substitute that into,

`49 - y + 2y = 70 \\ y = 21`

Substitute that into,

`x = 49 - 21 \\ x = 28`

Answer check :

`21 + 28 = 49 \\ 28 + 2(21) = 28 + 42 = 70`

Answer : The numbers are 21 and 28.

Hope this helps. - M