Question

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 1

b: 56

Explanation:

x + y = 88

x is 4 more than half the other number.

half of y is 1/2y

4 more than that is 1/2y + 4

substitute

1/2y + 4 + y = 88

solve for y

3/2y = 84

y = 168 / 3 = 56

solve for x

x = 88 - 56 = 32

not sure where you would answer 32 from what's given :)