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Aryan, Karan and Krishna have a few marbles with them 5 times the number of marbles Aryan has is equal to 4 times the number of marbles Karan has while 9 times the number of marbles Karan has is equal to 7 times the number of marbles Krishna has. What could be the minimum number of marbles with all three of them put together?

Aryan, Karan and Krishna have a few marbles with them 5 times the number of marbles Aryan has is equal to 4 times the number of marbles Karan has while 9 times the number of marbles Karan has is equal to 7 times the number of marbles Krishna has. What could be the minimum number of marbles with all three of them put together? Correct Answer 108

GIVEN:

5 × Aryan's marbles = 4× Karan's marbles

9 × Karan's marbles = 7 × Krishna's marbles

EXPLANATION:

Let number of marbles with Aryan, Karan, and Krishna be A, B, and C.

5A = 4B

A : B = 4 : 5

Also, 9B = 7C

B : C = 7 : 9

A     :    B     :     C

4     :     5 →:      5

7     :← 7     :      9

A : B : C = (4 × 7) : (5 × 7) : (5 × 9)

A : B : C = 28 : 35 : 45

A, B, C can be 28x, 35x, 45x. 

The least possible integral value of A, B, C can be 28, 35, 45 respectively.

Minimum no. of marbles = 28 + 35 + 45 = 108

∴ Minimum no of marbles will be 108

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