Latest MBA Aptitude Question SOLUTION: The sum of the present ages of Mina,Sony, and Rohan is 90 years.When Sony will be as old as Rohan is,the ratio of Rohan's age and the excess of Minna's age over one-fourth her pres

• Placement Papers
• /
• MBA

MBA Question Papers:

(#M40015741) MBA question algebra, quadratic equations, inequalities, functions Keep an EYE

The sum of the present ages of Mina,Sony, and Rohan is 90 years.When Sony will be as old as Rohan is,the ratio of Rohan's age and the excess of Minna's age over one-fourth her present age would be 2:1.When Rohan was as old as Sony is,the ratio of Sony's age and Minna's age was 2:1.Find the present age of Sony?1-50 2-54 3-36 4-30 5-48

1) 1
2) 2
3) 3
4) 4
5) 5

Asked In MBA (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (0) Submit Your Solution

Read Solution (1) :

Debipriya  (7 years ago)

Let the present ages of Minna, Sony and Rohan be m years, s years and r years respectively.

m + s + r = 90 --------(1)

Sony will be as old as Rohan is in (r - s) years.

Rohan’s age then = (r + r - s) years = 2r – s years.

Minna’s age then = (m + r - s) years.

2r – s/m + r – s – m/4 = 2/1

=> s = 3m/2 ------------(2)

Rohan was as old as Sony is, (r - s) years ago.

Sony’s age (r - s) years ago = (2s - r) years.

Minna’s age then = m – (r - s) years = (m – r + s) years.

2s – r/m – r + s = 2/1

r = 2m ----------(3)

Also, m + r + s = 90

From (1), (2) and (3), 2/3s + 2(2/3s) + s = 90

S = 30. Hence, option (4) is correct.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.