The sum of two number is $90$ and the greater number exceeds twice the smaller by $15$ . Find the numbers.

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Solution

Let smaller number is $x$
Greater number $= 2 x + 15$

According to the question
Greater number $+$ smaller number $= 90$
$2 x + 15 + x = 90$
$3 x = 75$
$x = 25$
And $2 x + 15 = 65$

Hence, numbers are $25$ and $65$

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