Question

One number is 6 more than other number. Also, 7 times the smaller number is equal to 6 times the

larger number. Find the two numbers.

Answer 1

The numbers are 36 and 42

Explanation:

Represent the two numbers by m and n, m being the larger number and n the smaller. Then

m = n + 6. also, 7n = 6m

Substitute n + 6 for m in the second equation: 7n = 6(n + 6).

Performing the indicated multiplication, we get 7n = 6n + 36, or n = 36.

Then m = n + 6, which here is m = 36 + 6 = 42.

The numbers are 36 and 42.