Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 4)
4.
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
7
8
9
10
11
Answer: Option
Explanation:

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

Discussion:
79 comments Page 3 of 8.

Sowji budigi said:   7 years ago
C is x.
B is 2x,.
A is 2x+2.
2x+2+2x+x=27.
5x+2=27.
5x=25.
X=5.
Then, B age is 2x so, 2*5=10.

P.GANGADHAR said:   8 years ago
A is x.
B is x-2.
C is (x-2)/2.

The sum of all ages is 27.
x+ (x-2)+ (x-2)/2 = 27.
(x-2+2x-4+2x) / 2 = 27.
Then (x+2x-6+2x) = 54.
(5x-6) =54.
5x =60.
x= 12 then.

(A is 12).
B is (x- 2 = 12-2= 10).
B age is 10.

SANJAY said:   8 years ago
Let,

Age of C is x years.
Then the age of B is 2x years.
And the age of A is 2x+2 years.
2x+2+2x+x = 27.

5x = 25.

Therefore x = 5.
Therefore the age of B is 2x = 2*5 = 10 years.
(1)

Rebekah said:   8 years ago
Can anyone explain 5x = 25?

Pranav said:   8 years ago
The right answer is 7.

Sreeja said:   8 years ago
If we take b as x then 9 is correct ans.

2+x+x+x-2 = 27,
X = 9.

Pavani said:   8 years ago
If we do option verification, option C(ans 9) is satisfying.

i.e. 11+9+7=27.
(1)

Prashant Singh said:   8 years ago
If, A is three times older than B, C is half the age of D, B is older than C. than what is the correct answer?

(a) A is older than D
(B) B is older than D

Please tell me with the explanation.
(1)

Snehal said:   8 years ago
Please, explain in detail how it comes 5x+2=27?

Shahid101 said:   9 years ago
Lets.

A=B+2.
From this we have B=A-2.
Then, B=2C.
We have C=B/2.
Add all these,

A + B + C = 27.

Put the values of A B and C.
B + 2 + A-2 + B/2 =27.

After solving, we will have.
3B + 2A = 54.

We want B's age, so put that value of B which is in terms of A.
3B+2 (B+2) =54.

Ultimately we have B=10.

Correct me if I'm mistaken anywhere, please.
(1)


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