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Question
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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