Question

The difference between 2 number is 5 and twice the smaller number is 18 more than the larger number. Find the number

Answer 1

x is larger number
y is smaller number

x-y=5
2y=x+18

1.) Find formula for x

2y = x + 18 | -18
2y -18 = x

2.) Find the value of y
x-y = 5 | plug in the formula for x
2y-18 - y = 5 | combine like terms
y -18 = 5 | +18

23 = y

3.) Find the value of x
2y = x + 18 | Plug in the value of y
2(23) = x + 18 | Distribute
46 = x +18 | -18

28 = x