SOLUTION: If the difference between two numbers is 6, and the difference of their squares is 180, what is the sum of the numbers?

Question 907836: If the difference between two numbers is 6, and the difference of their squares is 180, what is the sum of the numbers?

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
x the smaller number
(x+6)^2 - x^2 = 180
12x + 36 = 180
12x = 144
x = 12, the smaller number. Larger is 18
and..
324-144 = 180
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let's numbers be and

If the difference between two numbers is ,we have
......eq.1
and if the difference of their squares is ,
.............eq.2
you got system to solve:

......eq.1
.............eq.2
_________________________________
......eq.1...solve for
......substitute in eq.2

.............eq.2...solve for

now find

check:
=>=>
=> =>=>

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