SOLUTION: Two numbers are in the ratio 5:6. Find the numbers if their product is 1470.

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Question 1001245: Two numbers are in the ratio 5:6. Find the numbers if their product is 1470.
Answer by MathLover1(20849) About Me  (Show Source):
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Two numbers are in the ratio 5%3A6.
x%3Ay=5%3A6 or x%2Fy=5%2F6=> solve for x
x=5y%2F6.....eq.1
if their product is 1470:
xy=1470solve for x
x=1470%2Fy.....eq.2
from eq.1 and eq.2 we have
5y%2F6=1470%2Fy=> solve for y-cross multiply

5y%2Ay=1470%2A6
y%5E2=%281470%2A6%29%2F5
y%5E2=294%2A6
y%5E2=1764
y=sqrt%281764%29
y=42 or y=-42
go to x=1470%2Fy.....eq.2, substitute y
x=1470%2F42
x=35
or
x=1470%2F-42
x=-35
so, your numbers are:
x=35 and y=42
or
x=-35 and y=-42