Aptitude Overflow

0 votes

Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:43:4, what will be the total of their present ages? | |

A. 4545 | B. 4040 |

C. 3535 | D. 30 |

+1 vote

Best answer

I am assuming ratio of their present ages is 3:4.

**P's present age is 3x years **and

**Q's present age is 4x years**

And, **TEN years ago**, P was half of Q's age.

then, P = 1/2 Q or,

Q = 2P

**∴ Ten years ago,**

** (3x−10) = (1/2) * (4x−10)**

=> 6x-20 = 4x-10

=> 2x = 10

=> x = 5

**∴ ****P's present age** is 3x = 3*5 = **15 years**

and, **Q's present age** is 4x = 4*5 = **20 years**

**The total of their present ages is** = 15 + 20 years

= **35 years**

2,807 questions

1,131 answers

418 comments

31,483 users