Question 63

The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. What is the positive difference between the two numbers?

Solution

The ratio of two numbers is 3 : 7.

Let's assume the two numbers are 3y and 7y.

The sum of the two numbers is 180.

3y+7y = 180

10y = 180

y = 18

Positive difference between the two numbers = 7y-3y

= 4y

= $$4\times18$$

= 72

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