Question

Difference of 3/5 and 2/7 of a number is 44,find the number.​

Answer 1

Answer:

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Difference of 3/5 and 2/7 of a number is 44,find the number.

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$\large\bf\blue{Let\:\:\:the \:\:\:number \:\:\:be\:\:\ x$

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

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

$\large\bf\blue{\frac{21 - 10}{35} x = 44}$

$\large\bf\blue{\frac{11}{35}x = 44}$

$\large\bf\blue{11x = 44 \times 35}$

$\large\bf\blue{x = \frac{44 \times 35}{11} }$

$\large\bf\blue{x = 4 \times 35}$

$\large\bf\blue{x = 140}$

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