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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