Answer:
The numbers are 36 and 42
Step-by-step 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.
