Question

A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?

Answer 1

Answer:

The value of the larger number is

$x=24$

Step-by-step explanation:

A number, x, is 4 times another number, y.

$x=4y$ --------- (1)

The difference between the two numbers is 18.

$x-y=18$ -------(2)

Re-arranging equation (2) yields

$-y=18-x\\y=x-18$------------- (3)

Substitute y=x-18 in equation (1)

$x=4 (x-18)$

$x=4x-72\\x-4x=-72$

$-3x=-72\\x=\frac{72}{3}\\x=24$

Substitute x=24 in equation (3)

$y=24-18\\y=6$