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If $35$ of a number exceeds its $27$ by 44, the number is ____.

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Detailed Solution

35

of a number exceeds its

27

by 44, the number is 140.
Given

35

of a number exceeds its

27

by 44.
Let number = x.
According to question,

35 x − 27 x = 44

⇒ 3 × 7 − 5 × 2 35 x = 44

⇒ 21 − 10 35 x = 44

⇒ 1135 x = 44

⇒ x = 44 ÷ 1135

⇒ x = 44 × 3511

⇒ x = 154011

⇒ x = 140

Therefore, the number is 140.

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