Question 53
Three numbers are in the ratio of 2 : 3 : 5. The sum of these three numbers is 80. What is the product of these three numbers?
Solution
Three numbers are in the ratio of 2 : 3 : 5.
Let's assume the numbers are 2y, 3y and 5y.
The sum of these three numbers is 80.
2y+3y+5y = 80
10y = 80
y = 8
Product of these three numbers = $$2y\times3y\times5y$$
= $$30y^3$$
= $$30\times8^3$$
= $$30\times512$$
= 15360
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