Question

यदि किसी संख्या के 2/3 मे से 50 घटाने पर परिणाम 40 तथा संख्या के 1/4 के जोड़ के बराबर होता है तो संख्या क्या होगी? ​<br />(i) 336<br />(ii) 246<br />(iii) 174<br />(iv) 216​

Answer 1

Given:

यदि किसी संख्या के 2/3 मे से 50 घटाने पर परिणाम 40 तथा संख्या के 1/4 के जोड़ के बराबर होता है

If we subtract 50 from 2/3 of a number the result comes equal to the sum of 40 and 1/4 of the number

To find:

तो संख्या क्या होगी?

What's that number?

Solution:

Let the number be "x".

As per the question, we can form the equation as,

$\frac{2x}{3} - 50 = \frac{x}{4} + 40$

$\implies \frac{2x}{3} - \frac{x}{4} = 50 + 40$

$\implies \frac{2x}{3} - \frac{x}{4} = 90$

taking L.C.M. of 3 and 4 is 12 on L.H.S.

$\implies \frac{4\times 2x}{12} - \frac{3 \times x}{12} = 90$

$\implies \frac{8x}{12} - \frac{3x}{12} = 90$

$\implies \frac{5x}{12} = 90$

$\implies 5x = 90 \times 12$

$\implies 5x = 1080$

$\implies x = \frac{1080}{5}$

$\implies \bold{x = 216}$ ← option (iv)

Thus, that number is → 216.

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Answer 2

Answer:

Step-by-step explanation: