The number 15 is divided into two numbers, the sum of their square is equal to 117. What are the two numbers?

Answer 1

x+y=15 and x^2+y^2=117

so, solve for y
y=15-x

then substitute into the function and solve
x^2+(15-x)^2=117
x^2+225-30x+x^2=117
2x^2-30x+108=0
x^2-15x+54=0
(x-6)(x-9)=0

so, x=6, x=9; therefore y=9, x=6

Although this is the long way to solve this, if you follow the methodology you will be able to solve all future problems like this.

Answer 2

9 and 6

Answer 3

Square numbers from 1 to 10 are (can't go any higher otherwise they exceed 117):
1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
It therefore can't be either 11, 12, 13, 14 or 15, as they're too high. It also can't be 0, 1, 2, 3, or 4 because they're the numbers you would have to add to either 11, 12, 13, 14 or 15 in order to total 15. It also can't be 10 because 10^2 = 100 and no other number when squared = 17, which also knocks 5 out of the running because that would be its pair. But when you add 9^2 to 6^2 you get 117. Plus, when you add 9 and 6 you get 15. When you add the squares of 8 and 7, the only numbers left, you get 113.
No need for spectacular maths, 9 and 6 are your answers. My maths teacher used to hate it when I worked out my answers using basic common sense, she said it wasn't the mathematical way. Well screw her, it works, and it proves why the others don't.

Answer 4

6 and 9

Answer 5

6 and 9

Answer 6

9 + 6 = 15

9*9=81
6*6=36

81+36=117

Answer 7

9&6

Answer 8

6 & 9

Answer 9

then that would be equal to 10 times the percentage of the worlds population divided by the mass of the Atlantic ocean plus the number of trees in our backyard minus the number of your hair. whew.. i think i got it * brain freeze*

Answer 10

is it 9 and 6?

9 x 9 = 81
6 x 6 = 36
total =117

i am not good at maths and this might be wrong so please don't quote me.