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Question

If 35 of a number exceeds its 27 by 44, find the number.

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Solution

Let x be the required number.
We know that 35 of the number exceeds its 27 by 44.
That is,

35×x=27×x+44
35×x-27×x=44 35-27×x=4435+Additive inverse of 27×x=44 21-1035×x=44
1135×x=44
x=44÷1135

=44×3511=441×3511=44×351×11=154011=140

Hence, the number is 140.

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