Question

n+2/3n+1/2n+1/7n=97 to n ka man Kya hoga

Answer 1

$Given \:n + \frac{2}{3} n +\frac{1}{2} n +\frac{1}{7} n = 97$

/* Find the L.C.M of denominators 3,2 and 7 */

$L.C.M = 3\times 2 \times 7 = 42$

/* Multiplying each term by 42 , we get */

$\implies 42n + \frac{42 \times 2}{3} n +\frac{42 \times 1}{2} n +\frac{42 \times 1}{7} n = 42 \times 97$

$\implies 42n + 28n + 21n + 6n = 42 \times 97$

$\implies 97n = 42 \times 97$

$\implies n = \frac{42 \times 97}{97}$

$\implies n = 42$

Therefore.,

$\red { Value \:n } \green {= 42}$

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