# Mother Daughter age puzzle

1,481.3K Views

Ten years back the age of the mother was 4 times of her daughter’s age
and
After ten years – mother’s age is two times of her daughter’s age,

what is the present age of the daughter?

Detective Expert Asked on 3rd September 2015 in

If we interpret the meaning of: “After ten years”.. 10 years from now then the answer is M=50 AND D=20, here  10 years ago M=50-10 =40 and D-10=10 is ===> (M=D*4),  and 10 years from now M=50+10 =60, D+10=20+10 =30 so M*2D.
But if it means after the first situation which brings it to present time then the answer will be M=30 D=15 (M-10 = 30-10 = 20 = (D-10 = 15-10 =5) *4, & M=30 = 2*D(=15)

Moshe Expert Answered on 28th December 2022.

Present age of MOTHER = 50
And
DAUGHTER = 20

EXPLANATION-
Lets Mother’s Age be M
and Daughter’s agr be D

So,
Given
(M-10) = 4(D-10)      –   I
and
(M+10) = 2(D+10)
–     II

Solving both equation,

M = 4D-30 (From I)        –    III

In Equ II-
4D-20=2D+20
2D=40
D=20

and substituting in III
M=50

SherlockHolmes Expert Answered on 3rd September 2015.

Daughter being 20, and mother being 50, that is NOT correct, as 20 x 2 does NOT = 50.  If you take 10 years away, them being 10 / 40, that DOES make the 4x part of the equation valid, however 20 / 50 does NOT make the 2x part of the equation valid.   Try the daughter being 15 now, mother 30 (15 x 2 = 30), and ten years ago, daughter being 5, mother being 20 (5 x 4 = 20).   So the daughter is now 20 (mother now 40).

on 14th January 2016.

20 / 50 is incorrect, as 20 x 2 does NOT = 50.    The daughter is 15 now (mother 30), 15 x 2 = 30.   10 years ago, daughter 5, mother 20, 5 x 4 = 20.  So the daughter is 15 now.

on 14th January 2016.

It depends how you interpret the meaning of: “After ten years”.. If it means 10 years from now then the answer is correct because in M=50 AND D=20 so 10 years ago M=50-10 =40 and D-10=10 is correct (M=D*4),  and 10 years from now M=50+10 =60, D+10=20+10 =30 so M*2D, But if it means after the first situation which brings it to present time then the answer will be M=30 D=15

on 28th December 2022.

• ## More puzzles to try-

• ### What is the logic behind these ?

3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
• ### Defective stack of coins puzzle

There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »
• ### Which clock works best?

Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »
• ### (Advanced) Cheryl’s Birthday Puzzle

Paul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »
• ### Five greedy pirates and gold coin distribution Puzzle

Five  puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »
• ### Magical flowers!!

A  devotee goes to three temples,  temple1, temple2  and temple3  one after the other. In front of each temple, there ...Read More »
• ### Tuesday, Thursday what are other two days staring with T?

Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »
• ### How could only 3 apples left

Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »
• ### How Many Eggs ?

A farmer is taking her eggs to the market in a cart, but she hits a  pothole, which knocks over ...Read More »
• ### HARD MATHS – How much faster is one train from other Puzzle

Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »
• ### Most Analytical GOOGLE INTERVIEW Question Revealed

Let it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »
• ### Lateral thinking sequence Puzzle

Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »
• ### How did he know?

A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »
• ### Pizza Cost Math Brain Teaser

Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for \$10. It turned out ...Read More »
• ### Which letter replaces the question mark

Which letter replaces the question markRead More »
• ### Which room is safest puzzle

A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »
• ### Richie’s Number System

Richie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »
• ### Srabon wanted to pass

The result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »
• ### Become Normal!!

Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »
• ### Sakib Knows The Number!

Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »