A sum of rupees 53 is divided among a b c in such a way that a gets rupees 7 more than
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Answer:
25 : 18 : 10
Step-by-step explanation:
A sum of Rs. 53 is divided among A, B and C in such a way that A gets Rs.7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is
Let the amount that C get = Rs x
Given;
B gets Rs 8 more than C.
So the amount that B gets = x + 8
Also give;
A gets Rs 7 more than B.
So the amount that A gets = x + 8 + 7
Given;
Total Amount = Rs 53
The amount that A gets + The amount that B gets + The amount that C gets = 53
(x + 8 + 7) + (x + 8) + x = 53
3x + 23 = 53
=> 3x = 30
=> x = 10
The ratios of their shares is A : B : C
= (x + 8 + 7) : (x + 8) : x
= (10 + 8 + 7) : (10 + 8) : 10
= 25 : 18 : 10
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