92m + m = 22 9m + 2m2 = 22 [Taking LCM on LHS] 11m2 = 22 m = 22× 211 [By cross multiplication] m = 4 Verification: LHS = 92m + m = ...

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Euclid's Division Lemma

Solve: 92m ...

Question

Solve: $\frac{9}{2} m + m = 22$

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Solution

$\frac{9}{2} m + m = 22$
$\frac{9 m + 2 m}{2} = 22$ [Taking LCM on LHS]
$\frac{11 m}{2} = 22$
$m = \frac{22 \times 2}{11}$ [By cross multiplication]
$m = 4$
Verification:
$L H S = \frac{9}{2} m + m = \frac{9}{2} (4) + 4$
$= 18 + 4 = 22 = R H S$

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