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The sum of three numbers is 124. If the ratio between the first and the second is 2 : 3 and between the second and the third is 7 : 9, then the third number is :

(1) 48
(2) 54
(3) 64
(4) 66

तीन संख्याओं का योग 124 है। यदि पहली और दूसरी के बीच का अनुपात 2:3 है और दूसरी और तीसरी के बीच का अनुपात 7:9 है, तो तीसरी संख्या है:

(1) 48
(2) 54
(3) 64
(4) 66
This Question came in
UGC-NET-Linguistics-14-December-2023-Shift-1-Q15
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Detailed Explanation & Answer
Let the number be a, b and c.
Given that
a:b = 2:3
We can also write it as
a:b = 14:21
Also second given condition is
b:c = 7:9
We can also write it as
b:c = 21:27
Hence from above equations
a:b:c = 14:21:7
a= 14x, b=21x and c=27x

Therefore, we can write sum of the three numbers as:
14x + 21x + 27x + = 124
62x = 124
x = 2

Hence, the third number will be,
c = 27x2 = 52
माना संख्या a, b और c है।
मान लें कि
ए:बी = 2:3
इसे हम ऐसे भी लिख सकते हैं
ए:बी = 14:21
इसके अलावा दूसरी शर्त यह है
बी:सी = 7:9
इसे हम ऐसे भी लिख सकते हैं
बी:सी = 21:27
अतः उपरोक्त समीकरणों से
ए:बी:सी = 14:21:7
a= 14x, b=21x और c=27x

इसलिए, हम तीनों संख्याओं का योग इस प्रकार लिख सकते हैं:
14x + 21x + 27x + = 124
62x = 124
एक्स = 2

अतः, तीसरी संख्या होगी,
सी = 27x2 = 52
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