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The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.

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#### Solution

Let the first number = x

and the second number = 7

According to the question, x + y = 405 ……..(i)

and the numbers are in the ratio 8 : 7

According to the question,

The sum of the two numbers is 405

Now, substitute the value of x in equation (i)

8x + 7x = 405

15x = 405

`x = 405/15`

x = 27

Hence, First number = 8x = 27 × 8 = 216

Second number = 7x = 27 × 7 = 189

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