The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers?

8 and 8
9 and 7
15 and 9
10 and 6

Question

The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers?

       8 and 8
       9 and 7
       15 and 9
       10 and 6

vocaloid · Answer

let x and y be the two numbers
ratio of x to y = x/y = 5/3
sum of the numbers: x + y = 16

do you know what do do next?

anonymous · Answer

is it the first 1

vocaloid · Answer

nope, remember that the ratio is 5 to 3, which means that the first number divided by the second number must be 5/3

anonymous · Answer

the third?

vocaloid · Answer

no, please don't try to guess, I would like you solve the problem mathematically

vocaloid · Answer

no, here's a hint:

8/8 = ?
9/7 = ?
15/9 = ?
10/6 = ?

make sure to simplify fractions

anonymous · Answer

10 & 6

skullpatrol · Answer

10/6 = (2•5)/(2•3)