Question

One number is three less than four times another. If their difference is 48, what is the larger number?

Answer 1

65

Explanation:

Let x be the number and y be the another one.

x=4y-3

x-y=48

Substitute x=4y-3 into x-y=48

(4y-3)-y=48

3y=51

y=17

[Since we know x is larger than y (4y-3), we need to use y to calculate out x.]

Substitute y=17 into x=4y-3

x=68-3

x=65