Question 68
The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?
Solution
If the ratio of the two numbers is 3 : 5.
Let's assume the numbers are 3y and 5y.
The product of two positive numbers is 240.
$$3y\times\ 5y\ =\ 240$$
$$15y^2\ =\ 240$$
$$y^2\ =\ 16$$
y = 4
Sum of the two numbers = 3y+5y
= 8y
= $$8\times4$$
= 32
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