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zubka84 [21]
3 years ago
14

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

A number :

x

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3/5 of it :

\frac{3}{5} x \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2/7 of it :

\frac{2}{7} x  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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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