Mother Daughter age puzzle
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)
Answer,
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
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).
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.
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
Your Answer
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