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Mathematics

The sum of two rational numbers is 920\dfrac{9}{20}. If one of them is 25\dfrac{2}{5}, find the other.

Rational Numbers

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Answer

Let xx be the other number. 25+x=920x=92025\dfrac{2}{5} + x = \dfrac{9}{20} \\[1em] ⇒ x = \dfrac{9}{20} - \dfrac{2}{5}

LCM of 20 and 5 is 2 x 2 x 5 = 20

x=9×120×12×45×4x=920820x=9820x=120⇒ x = \dfrac{9 \times 1}{20 \times 1} - \dfrac{2 \times 4}{5 \times 4}\\[1em] ⇒ x = \dfrac{9}{20} - \dfrac{8}{20}\\[1em] ⇒ x = \dfrac{9 - 8}{20}\\[1em] ⇒ x = \dfrac{1}{20}

The sum of two rational numbers is 920\dfrac{9}{20}, if one of them is 25\dfrac{2}{5}, the other number is 120\dfrac{1}{20}

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