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

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- March 31st 2007, 09:09 PMmike1Sum and Quotient
How do I find two numbers whose sum is 102 and quotient is 16?

- March 31st 2007, 09:30 PMJhevon
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