The sum of three numbers is 54. The difference of the largest and the smallest is 52​, and the sum of the two smaller numbers is 10. Find the numbers.

Question

The sum of three numbers is 54. The difference of the largest and the smallest is 52 , and the sum of the two smaller numbers is 10. Find the numbers.

Answer 1

a + b + c = 54

c - a = 52 

a + b = 10

 

If we add the last two equations...

b + c = 62

 

We can substitute that into the first equation.

a + 62 = 54

a = -8

 

Now you should be able to find the other two.