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Integers

What is the s...

Question

What is the sum of two number whose difference is 45, and the quotient of the greater number when divided by the lesser number is 4?

A

100

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B

90

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C

80

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D

75

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Solution

The correct option is B $75$
Let the lesser number be $x$ Then
Greater number $= x + 45$
Given $\frac{x + 45}{x} = 4 \Rightarrow x + 45 = 4 x$
$\Rightarrow 3 x = 45 \Rightarrow x = 15$
Then required sum $= x + x + 45 = 30 + 45 = 75$

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