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The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.

A. 44
B. 56
C. 61.3
D. 126
E. 138
F. 176

Answer :

The two numbers by setting up a linear equation are 32 and 56 respectively

Linear function and equation

A linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y

If the sum of two numbers is 88, then;

x + y = 88

If one number is 4 more than half the other number, then

x = 1/2y + 4

Substitute equation 2 into 1

x + y = 88

(1/2y+4) + y = 88

1/2y+y + 4 -88 = 0

3/2y - 84 = 0

3/2y. = 84

3y = 2(84)

3y = 168

y = 56

Determine the value of x

x =88 - 56

x = 32

Hence the two numbers by setting up a linear equation are 32 and 56 respectively

Learn more on linear function here: https://brainly.com/question/15602982

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