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A number :
[tex]x[/tex]
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3/5 of it :
[tex] \frac{3}{5} x \\ [/tex]
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2/7 of it :
[tex] \frac{2}{7} x \\ [/tex]
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3/5 of a number exceeds its 2/7 by 44 thus :
[tex] \frac{3}{5} x - \frac{2}{7} x = 44 \\ [/tex]
(( Find the number )) ---¢ x asked
So we need to solve the above equation for x.
[tex] \frac{3}{5} x - \frac{2}{7} x = 44 \\ [/tex]
Multiply sides by 35
[tex](35) \times ( \frac{3}{5} x) - (35) \times ( \frac{2}{7} x) = 35 \times 44 \\ [/tex]
[tex](7 \times 3x) - (5 \times 2x) = 4 \times 35 \times 11 \\ [/tex]
[tex]21x - 10x = 140 \times 11[/tex]
[tex]11x = 11 \times 140[/tex]
Divide sides by 11
[tex] \frac{11}{11} x = \frac{11 \times 140}{11} \\ [/tex]
[tex]x = 140[/tex]
Done...
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