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Ranjan and Rohit had coins in the ratio 11:7
Let, the common multiple be x
Then, Ranjan had 11x coins and Rohit had 7x coins
By the given condition,
11x + 7x = 468
or, 18x = 468
or, x = 468/18
or, x = 26
So, Ranjan had (11 × 26) = 286 coins
and Rohit had (7 × 26) = 182 coins
Ranjan's mother gave him 14 more coins; so he has (286 + 14) = 300 coins now
Let us take Rohit's mother took y number of coins from him; so he has (182 - y) coins now
By the given condition,
300 : (182 - y) = 15 : 8
or, 300/(182 - y) = 15/8
or, 15 (182 - y) = 300 × 8
or, 182 - y = (300/15) × 8
or, 182 - y = 20 × 8 = 160
Therefore, Rohit has 160 coins now.
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