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Emdad
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 18 May 2021, 23:13
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45% (medium)

Question Stats:

76% (02:26) correct 24% (02:51) wrong based on 166 sessions

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The ratio of marbles collected by Amir, Babu and Enam is 1:2:5. If Babu gives 3 marbles to Amir and receives 6 marbles from Enam the ratio becomes 3:5:8. How many marbles did Enam have?

(A) 25
(B) 30
(C) 35
(D) 45
(E) None of these
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Emdad
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 21 May 2021, 06:19
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AbhaGanu
Emdad how to solve this?
A:B:E=x:2x:5x
after communicating amongst them, the ratio is:
A : B : E
x+3:2x+3:5x-6=3:5:8
So, \(\frac{x+3}{2x+3}=\frac{3}{5}\)
We get x=6.

How many marbles did Enam have? 5x=30

Answer is B

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The ratio of marbles collected by Amir, Babu and Enam is 1:2 21 May 2021, 05:04
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Emdad how to solve this?
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 27 Feb 2024, 11:40
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A:B:E=1:2:5
x+3: 2x-3+6:5x-6
x+3:2x+3:5x-6=3:5:8
=> x+3/2x+3=3/5
=>5x+15=6x+9
x=6;

check 2x+3/5x-6=15/24=5/8 (ok)

5x=30
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 28 Feb 2024, 01:55
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­if x = 6 then why cant we multiply it by 8 because in the new ratio enam has proportion of 8

 
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 28 Feb 2024, 02:48
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RajibDhara
The ratio of marbles collected by Amir, Babu and Enam is 1:2:5. If Babu gives 3 marbles to Amir and receives 6 marbles from Enam the ratio becomes 3:5:8. How many marbles did Enam have?

(A) 25
(B) 30
(C) 35
(D) 45
(E) None of these­

if x = 6 then why cant we multiply it by 8 because in the new ratio enam has proportion of 8 
­
Since A : B : E = x : 2x : 5x and x = 6, then Enam has 5x = 30 marbles.

A' : B' : E' = (x + 3) : (2x + 3) : (5x - 6) = 3 : 5 : 8 is the ratio in a hypothetical scenario IF Babu gives 3 marbles to Amir and receives 6 marbles from Enam. IF this were to happen, then Enam would have 5x - 6 = 24 marbles.
 ­
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The ratio of marbles collected by Amir, Babu and Enam is 1:2 18 Jun 2025, 09:57
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Quick (but Risky) Method Using Options:

Since the final ratio becomes 3:5:8 and Enam gives away 6 marbles, we look for an option where:

Initial number − 6 = a multiple of 8

This is because Enam ends up with a quantity proportional to 8 parts of the total.
Among the options, 30 works since:

30 − 6 = 24, which is divisible by 8.

Thus, 30 is the likely answer.
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