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Popular Word Problems >

The difference of two number is 13. The second number is five less than two times the first number. Write a system of equations and find the two numbers.

Solution

T h e d i ff ere n ce o f tw o n u mb er i s 13. T h e seco n d n u mb er i s f i v e l ess t han tw o t im es t h e f i rs t n u mb er . W r i t e a sys t e m o f e q u a t i o n s an d f in d t h e tw o n u mb ers .

Solution

The numbers : - 8, - 21

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 13

y = 2 x - 5

x - y = 13, y = 2 x - 5 : x = - 8, y = - 21

The numbers : - 8, - 21

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