Aptitude Discussion

Q. |
The sum of $A$ and $B$'s age is 43 years. 11 year hence, $A$'s age will be 7/6 times $B$'s age then. Find $B$'s present age. |

✖ A. |
22 years |

✖ B. |
20 years |

✖ C. |
24 years |

✔ D. |
19 years |

**Solution:**

Option(**D**) is correct

Let $A$'s age be $x$ and $B$'s age be $y$.

$x+y=43$ -------- (i)

\((x+11)=\dfrac{7}{6}(y+11)\)

$⇒ 6x−7y=11$ -------- (ii)

On solving both the equations, we get:

$y = 19 \textbf{ years}$

**Edit:** Based on comments from **Harish** and **Sujal Padhiyar,** updated the solution.

**Edit 2:** For an alternative solution, check comment by **Sravan Reddy.**

**Akash Sarda**

*()
*

**Sravan Reddy**

*()
*

Fast mind based calculation thought process:

=> 11 year hence - so add 22 to 43 = 65 years (sum of both ages after 11 years)

=> 7:6 ratio so dividing by 13 and multiplying by 7 and 6

=> Ages are 35 and 30 - 11 years earlier it was 19

**Uttam Kumar**

*()
*

answer should be 9 not 19

Can you show how 9 years is the answer?

Because my calculations suggest otherwise. I solved the given equations and got the result to be correct as 19 years.

**Sujal Padhiyar**

*()
*

Here it should be 1 year hence not 11.

I guess this should be '11 year hence'. And solution needs to be changed.

Add 11 to each option, and check which one is divisible by 6. Since A's age is integer. There is only one such option!

D. 19.