$A$ is three times as old as $B$ . $C$ was twice-as old as $A$ four years ago. In four years' time, $A$ will be $31$ . What are the present ages of $B$ and $C$ ?

9, 46

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9, 50

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10, 46

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10, 50

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $9, 50$
We have : $A = 3 B$ ...(i) and
$C - 4 = 2 (A - 4)$ ...(ii)
Also, $A + 4 = 31$ or $A = 31 - 4 = 27$ .
Putting $A = 27$ in (i), we get: $B = 9$ .
Putting $A = 27$ in (ii), we get $C = 50$ .

Suggest Corrections

Similar questions

Q. A is twice as old as B. Ten years ago, A was four times as old as B. What are their present ages?

$X$ is three times as old as $Y, Z$ was twice as old as $x$ four years ago. In the four year time, $x$ will be of $31$ years. What is the present age of $y$ and $z$ .

Q. Ten years later,

A

will be twice as old as

B

and five years ago,

A

was three times as old as

B

. What are the present ages of

B

Q. Six years ago a man was three times as old as his son. In

6

years time, he will be twice as old as his son. Find their present ages

Join BYJU'S Learning Program

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C?

The correct option is C 9,50We have : A=3B ...(i) andC−4=2(A−4) ...(ii)Also, A+4=31 or A=31−4=27.Putting A=27 in (i), we get: B=9.Putting A=27 in (ii), we get C=50.

$A$ is three times as old as $B$ . $C$ was twice-as old as $A$ four years ago. In four years' time, $A$ will be $31$ . What are the present ages of $B$ and $C$ ?

The correct option is C $9, 50$
We have : $A = 3 B$ ...(i) and
$C - 4 = 2 (A - 4)$ ...(ii)
Also, $A + 4 = 31$ or $A = 31 - 4 = 27$ .
Putting $A = 27$ in (i), we get: $B = 9$ .
Putting $A = 27$ in (ii), we get $C = 50$ .