One number is 8 times as large as another. Their difference is 21. What is the larger number?

Explanation:

x = smaller number

8x = larger number, since it's 8 times larger than the smaller

8x-x = 7x = difference of the numbers

That difference is 21, so we can say 7x = 21 which solves to x = 3

The smaller number is 3 and the larger is 8x = 8*3 = 24

As a check: 24-3 = 21, which confirms the answer.

step-by-step explanation: 4 cause 2+2=4