Fractions

Level pending

If 3 5 \frac{3}{5} of a number exceeds it's 2 7 \frac{2}{7} by 44, find the number.


The answer is 140.

Aryan Gaikwad by Aryan Gaikwad , 22, India

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3 solutions

Anuj Shikarkhane
Jun 22, 2014

3x/5 - 2x/7=44 So x is 140

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3/5 x = 2/7 x + 44, multiply both sides of the equation by the LCD, it results to 10x + 1540 = 21x, subtraction property of equality then divide both sides by the coefficient of the variable, x = 140

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Aryan Gaikwad
Apr 24, 2014

I did it this way -

Let the required number be x x

According to the given condition, 3 5 o f x − 2 7 o f x = 44 \frac{3}{5} of x - \frac{2}{7} of x = 44

= 3 5 x − 2 7 x = 44 \frac{3}{5}x - \frac{2}{7}x = 44

= 21 x − 10 x = 35 ∗ 44 21x -10x = 35 * 44

x = 35 ∗ 44 / 11 = 140 x = 35 * 44 / 11 = 140

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I too did that way

Anuj Shikarkhane - 6 years, 11 months ago

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