Question

One number is fourteen less than the other. If their sum is increased by seven, the result is 83. Find the numbers

Answer 1

Let's call the two numbers x and y. We know that:

y = x + 14 (because one number is 14 more than the other)

x + y + 7 = 83 (because the sum of the two numbers plus 7 is 83)

We can substitute the first equation into the second equation:

x + (x + 14) + 7 = 83

Simplifying this equation:

x + x + 14 + 7 = 83

2x + 21 = 83

2x = 62

x = 31

So one number is 31 and the other number is 45 (since one is 14 more than the other).