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3 years ago

if 3/5 of a number exceeds it's 2/7 by 44. find the number. the correct and fastest answer will get brainliest

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

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A number :

$x$

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3/5 of it :

$\frac{3}{5} x \\$

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2/7 of it :

$\frac{2}{7} x \\$

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3/5 of a number exceeds its 2/7 by 44 thus :

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

(( Find the number )) ---¢ x asked

So we need to solve the above equation for x.

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

Multiply sides by 35

$(35) \times ( \frac{3}{5} x) - (35) \times ( \frac{2}{7} x) = 35 \times 44 \\$

$(7 \times 3x) - (5 \times 2x) = 4 \times 35 \times 11 \\$

$21x - 10x = 140 \times 11$

$11x = 11 \times 140$

Divide sides by 11

$\frac{11}{11} x = \frac{11 \times 140}{11} \\$

$x = 140$

Done...

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if 3/5 of a number exceeds it's 2/7 by 44. find the number. the correct and fastest answer will get brainliest​

if 3/5 of a number exceeds it's 2/7 by 44. find the number. the correct and fastest answer will get brainliest