Question

संख्याओं 50, 61, 92, 117 में से प्रत्येक में से कौन सी संख्या घटाई जाए ताकि इस प्रकार इसी क्रम में प्राप्त संख्याएँ समानुपात में हो जाएँ ?
(1) 23
(2) 14
(3) 17
(4) 19

Answer 1

Step-by-step explanation:

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Answer 2

The correct option would be '(3) 17'

Step-by-step explanation:

Given numbers are,

50, 61, 92, 117

Now, any four numbers a, b, c and d are called proportional,

If $\frac{a}{b}=\frac{c}{d}$

Consider x be the number which subtracted from each of given number,

Such that, resultant numbers are proportional,

i.e. $\frac{50-x}{61-x}=\frac{92-x}{117-x}$

$(50-x)(117-x)=(92-x)(61-x)$

$50\times 117 - 50x - 117x + x^2 = 92\times 61-92x-61x+x^2$

$5850-167x = 5612 -153x$

$5850-5612 = -153x + 167x$

$238 = 14x$

$\implies x =\frac{238}{14}=17$

Hence, 17 should be subtracted from each number.

#Learn more :

Check whether the following numbers are in proportion are not:

https://brainly.in/question/1667225