Mathematics: 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?

A number, x, is 4 times another number, y. The - id410773519, Schoolworkspace453

Bri0929

18.03.2022

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)

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

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