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Popular Word Problems >

The sum of two numbers is 50. The first number is 43 less than twice the second number. write and solve a system of equations to find the two numbers.

Solution

T h e s u m o f tw o n u mb ers i s 50. T h e f i rs t n u mb er i s 43 l ess t han tw i ce t h e seco n d n u mb er . w r i t e an d so l v e a sys t e m o f e q u a t i o n s t o f in d t h e tw o n u mb ers .

Solution

The numbers : 19, 31

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 50

x = 2 y - 43

x + y = 50, x = 2 y - 43 : x = 19, y = 31

The numbers : 19, 31

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