The present ages of A,B and C are in proportions 3:5:6. Six years ago, the sum of their ages was 66.

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26 Nov 2018 Age

The present ages of A,B and C are in proportions 3:5:6. Six years ago, the sum of their ages was 66. What is the product of their present ages?

OPtion

1) 7500
2) 12960
3) 3840
4) 20580
5) 30720
6) 24000
7) 43740
8) 42000
9) 19440
10) None of these

Solution

Answer: 19440


Six years ago sum of Ages of A, B and C = 66
Six years later i.e. sum of current ages of A, B and C = 66 + 3*6 = 84

Present Age of A = 84*3/(3+5+6) = 18 years

Present Age of B = 84*5/(3+5+6) = 30 years
Present Age of C = 84*6/(3+5+6) = 36 years

Product of their ages = 19440

Option 9)

Correct Option: 9 Best Solution (7)

ARINJOY GHOSH   5 years AGO

Let A,B and C's present age respectively,3k,5k & 6k.
According to question, 3k-6+5k-6+6k-6=66
14k=84
So, K=6
Now,product of their present ages=3k*5k*6k=90k^3=90*216=19440
Ans. option (9)

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AASHRAY AJAY SHARMA   5 years AGO

The ages six years ago is,

3x+5x+6x - 18 = 66
x = 84/14 = 6

therefore, product of their ages are:- 3*5*6*(6^3) = 90*36*6
=19440 (Option 9)

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Pragati Rode   5 years AGO

let present ages of A, B, C are 3x, 5x , 6x

six years ago , sum of their ages = 66
3x-6+5x-6+6x-6 =66
3x + 5x + 6x = 66 + 18
14x = 84
x = 6
their present ages are 18, 30 and 36
product of their ages = 18 * 30 * 36
= 19440
so option 9)

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Shyam Sundar . D   5 years AGO

six years ago the sum of there age is 66
six years later current age of A,B,C=66+3*6=84
so age of A=84*3/14=18
so age of B=84*5/14=30
so age of C=84*6/14=36
so product of their age is 18*30*36=19440
so my option is 9

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Shanjay Sundar . D   5 years AGO

six years ago the sum of there age is 66
six years later current age of A,B,C=66+3*6=84
so age of A=84*3/14=18
so age of B is 84*5/14=30
so age of C is 84*6/14=36
so the product of their age is 18*30*36=19440
so my option is 9

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RAMADURAI NATESAN   5 years AGO

Six yrs ago,sum of ages=66.sum of ages now =66+18=84.
3:5:6 of 84=18,30 and 36. Product is 19440

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MANISHA JADHAV   5 years AGO

six years ago
3x+5x+6x-18=66
x=84/14=6
now present ages of A B C are
A=18
B=30
C=36
PROUDUCT OF AGES OF THESE =19440

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