# Math Help - Sum and Quotient

1. ## Sum and Quotient

How do I find two numbers whose sum is 102 and quotient is 16?

2. Originally Posted by mike1
How do I find two numbers whose sum is 102 and quotient is 16?
let the two numbers be x and y. we want:

x + y = 102 and x/y = 16, so we get the simultaneous equations:

x + y = 102 ..................(1)
x/y = 16 ......................(2)

we will proceed by the substitution method:

from (2) we see x = 16y. substitute 16y for x in (1), we get:

16y + y = 102
=> 17y = 102
=> y = 102/17
=> y = 6

but x = 16y
=> x = 16(6)
=> x = 96

so the two numbers are 96 and 6