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The ages of three persons A, B and C are in the ratio of 4:7:14 and the ages of B, C and D are in the ratio of 2:4:5. What is the ratio of the ages of A, B, C and D ?
- A45:2:21:39
- B4:14:28:22
- C8:11:22:35
- D8:14:28:35
Correct answer: D
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0
CCommunity
8:14:28:35
A:B:C = 4:7:14
A:B:C = 4:7:14
0
CCommunity
Solution:
Given: A:B:C = 4:7:14
Let A = 4x, B = 7x , C = 14x and
B:C:D = 2:4:5
Let B = 2y, C = 4y , D = 5y .
To find: A:B:C:D = ?
We have B = 7x and B = 2y
So, 7x = 2y
y = 7x/2
Since, D = 5y,
we have D = 5 (7x/2)
D = 35x/2
Now,
A:B:C:D = 4x : 7x :14x : (35x/2)
=> (4x : 7x :14x : 35x/2)×2
= 8x : 14x : 28x : 35x
= 8 : 14 : 28 : 35
So, the correct option is D). 8:14:28:35
Given: A:B:C = 4:7:14
Let A = 4x, B = 7x , C = 14x and
B:C:D = 2:4:5
Let B = 2y, C = 4y , D = 5y .
To find: A:B:C:D = ?
We have B = 7x and B = 2y
So, 7x = 2y
y = 7x/2
Since, D = 5y,
we have D = 5 (7x/2)
D = 35x/2
Now,
A:B:C:D = 4x : 7x :14x : (35x/2)
=> (4x : 7x :14x : 35x/2)×2
= 8x : 14x : 28x : 35x
= 8 : 14 : 28 : 35
So, the correct option is D). 8:14:28:35