Question #eea54

1 Answer
Mar 17, 2016

a + (a - 14) = 34, so 2a = 48 and a = 24, 24-14 = 10 so the two numbers are 10 and 24.

Explanation:

The sum of the two numbers is 34 and their difference is 14, so we can say:

a + b = 34 and then substitute (a-14) for b.

This gives us a + (a - 14) = 34 which leads to 2a = 48. Dividing both sides by 2 we then have a = 24. Then putting 24 in for a in (a - 14) we find that b = 10. By substituting 24 and 10 for a and b we see that this is true. 24 + 10 = 34 and the difference between 24 and 10 is 14.