Find two numbers, if their sum is 97 and their difference is 7.

Step-by-step explanation:

Let m and n represent the numbers. Then m + n = 97 and n - m = 7.

Solving the second equation for n, we get n = m + 7. Substituting m + 7 for n in the first equation we obtain:

m + (m + 7) = 97, or

2m + 7 = 97, or 2m = 90

Dividing both sides by 2, we get m = 45. Then n must be 52.