If 15-16-4 x- then x-a -120b -100c 100d 120

(d) 120 15 16=4x1 #215;65 #215;6 1 #215;56 #215;5=4x630 530=4x6 530=4x130=4xx=4 #215;30=120 ...

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Byju's Answer

Standard VI

Mathematics

Whole Numbers

If 15-16=4 x,...

Question

If $\frac{1}{5} - \frac{1}{6} = \frac{4}{x}$ , then x =

(a) −120
(b) −100
(c) 100
(d) 120

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Solution

(d) 120

$\frac{1}{5} - \frac{1}{6} = \frac{4}{x} \frac{1 \times 6}{5 \times 6} - \frac{1 \times 5}{6 \times 5} = \frac{4}{x} \frac{6}{30} - \frac{5}{30} = \frac{4}{x} \frac{6 - 5}{30} = \frac{4}{x} \frac{1}{30} = \frac{4}{x} x = 4 \times 30 = 120$

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(IIT JEE Main 2014)

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If 15-16=4x, then x = (a) −120 (b) −100 (c) 100 (d) 120

(d) 120 15-16=4x1×65×6-1×56×5=4x630-530=4x6-530=4x130=4xx=4×30=120

If $\frac{1}{5} - \frac{1}{6} = \frac{4}{x}$ , then x =

(a) −120
(b) −100
(c) 100
(d) 120

(d) 120

$\frac{1}{5} - \frac{1}{6} = \frac{4}{x} \frac{1 \times 6}{5 \times 6} - \frac{1 \times 5}{6 \times 5} = \frac{4}{x} \frac{6}{30} - \frac{5}{30} = \frac{4}{x} \frac{6 - 5}{30} = \frac{4}{x} \frac{1}{30} = \frac{4}{x} x = 4 \times 30 = 120$