Question

The couple has son and a daughter. The age of the father is four times that of the son and the age of the daughter is one third of that of her mother. The wife is 6 years younger to her husband and the sister is 3 years older than her brother. the mother's age is a.​

Answer 1

Answer:

Answer= is 54 years

Step-by-step explanation:

M → Mother, F → Father, S → Son and D → Daughter

F = 4S, D =

1

3

M, M = F - 6 and S = D - 3

∴M=3D=3(S+3) =3S+9=

3

4

F+9=

3

4

(M+6)+9 =

3

4

M+

3

4

×6+9 ⇒(M−

3

4

M)=(

9

2

+9) ⇒

1

4

M=

27

2

⇒M=(

27

2

×4) =54years ∴ The mother is 54 years old

Hope it will help you

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