The present ages of A,B and C are in proportions 3:4:5. Six years ago, the sum of their ages was 54.

M4maths Previous Puzzles

15 Nov 2018 Age

The present ages of A,B and C are in proportions 3:4:5. Six years ago, the sum of their ages was 54. 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) 15860
10) None of these

Solution

Answer: 12960 years


Six years ago sum of Ages of A, B and C = 54
Six years later i.e. sum of current ages of A, B and C = 54 + 3*6 = 72

Present Age of A = 72*3/(3+4+5) = 18 years

Present Age of B = 72*4/(3+4+5) = 24 years
Present Age of C = 72*5/(3+4+5) = 30 years

Product of their ages = 12960

Option 2)

Correct Option: 2 Best Solution (11)

G.S.Kantharao   5 years AGO

Ratio =3:4:5
Six years ago their ages total=54
Present their ages total=54+3*6=72
Then their present ages are =18,24,30
Their product is 12960
Right option is 2👈

Like? Yes (3) | No   

Manas   5 years AGO

By solving the equation,
(3x-6)+(4x-6)+(5x-6)=54
We get x=6
Therefore the present ages of A,B and C come out to be 18,24&30 respectively.
Product of their present ages = (18*24*30)=12960

Like? Yes (1) | No   

SAYAN CHATTERJEE   5 years AGO

12x-18= 54
So, x= 6,
The product is 3*4*5*6^3= 12960
Option 2.

Like? Yes | No   

akshay kumar c p   5 years AGO

current ages 3x,4x,5x respectively
6 years ago (3x-6)+(4x-6)+(5x-6)=54
=> 12x-18=54
=> 12x=72
=> x=6
so product of current ages
=> 3*6*4*6*5*6=12960

Like? Yes | No   

Pragati Rode   5 years AGO

let presents ages of A,B,C are 3x, 4x,5x respectively
six years age ==>

3x-6+4x-6+5x-6 = 54
3x+4x+5x-18=54
3x+4x+5x = 54+18=72
12x = 72
x=6
product of their present ages = 3x * 4x * 5x
=3*6*4*6*5*6
= 12960
so option 2)

Like? Yes | No   

MANISHA JADHAV   5 years AGO

now sum of there ages=54+(3*6)=72
3x+4x+5x=72
x=6
age of A=18, B=24,C=30
PRODUCT OF A,B &C=12960

Like? Yes | No   

Kariamal   5 years AGO

(3x-6)+(4x-6)+(5x-6)=54
12x=72
x=6
Product of present ages=18*24*30=12960

Like? Yes | No   

Kethineni Vinodh   5 years AGO

Assume 3x, 4x and 5x present

6 years ago, 3x-6, 4x-6 and 5x-6 and the sum is 12x-18 equals 54 then solve for x

12x-18=54 i.e., x=6

Product of present ages is 60x^3 equals 60*6^3 equals 12960

Like? Yes | No   

Mona kumari   5 years AGO

since,the ratio is 3:4:5
then,their ages is 3x,4x,5x
6 years ago,sumis 54 3x-6+4x-6+5x-6=54 so,x=6
their ages is 12,24,30
so product os their ages is 12,960

Like? Yes | No   

Mohan Vasudev   5 years AGO

Given A/3=B/4=C/5.
Also A+B+C = 54 - 18
Using these solving
A = 18, B = 24 , C = 30.
A B C =18*24*30* = 12960

Like? Yes | No   

Ruth   5 years AGO

present age =x,so 3x,4x,5x
6 yrs ago, 3x-6+4x-6+5x-6=54
x=6
18*24*30=12960

Like? Yes | No