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UGC-NET-Paper1

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Read the Question carefully and choose the correct option.
Find the number that must be added to the terms of the ratio 13:25 to make it equal to 7:10.

1. 8
2. 11
3. 15
4. 13

वह संख्या ज्ञात कीजिए जिसे अनुपात 13:25 के पदों में जोड़ने पर यह 7:10 के बराबर हो जाए।

1. 8
2. 11
3. 15
4. 13
This Question came in
UGC-NET-Economics-08-October-2022-Shift-2-Q21
UGC-NET Paper 1 Full Course

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Detailed Explanation & Answer
Let's call this number x.
So, 13 + x : 25 + x = 7:10

Now, we can solve for x:
(13 + x) / (25 + x) = 7/10

Cross multiplying:
10(13 + x) = 7(25 + x)
130 + 10x = 175 + 7x

Rearranging terms:
10x - 7x = 175 - 130
3x = 45
x = 45 / 3
x = 15
आइए इस नंबर पर कॉल करें x.
तो, 13 + x : 25 + x = 7:10

अब, हम x के लिए हल कर सकते हैं:
(13 + x) / (25 + x) = 7/10

क्रॉस गुणा:
10(13 + x) = 7(25 + x)
130 + 10x = 175 + 7x

शर्तों को पुनर्व्यवस्थित करना:
10x - 7x = 175 - 130
3x = 45
x= 45/3
x= 15
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