Question

Mother’s age is 4times daughter’s age. After 6years mother’s age will be 3less than 3times daughter’s age. Find mother’s age 6yrs ago.

Answer 1

Answer:

Explanation:

Daughter's age = x

Mother's age = 4x

After 6 years

4x+6=3(x+6) - 3

4x+6=3x+18-3

x=9

mother's present age=36

mother's age 6 years ago= 30

Answer 2

Answer:

Mother’s age (6 years ago) was 30 years

Explanation:

Let,

The age of daughter = x

The age of mother = 4x

After 6 years:

The age of daughter = x + 6

The age of mother = 4x + 6

Also,

Mother is 3 less than 3 times daughter’s age:

⇒ 4x + 6 = 3(x + 6) - 3

⇒ 4x + 6 = 3x + 18 - 3

⇒ 4x - 3x = 15 - 6

⇒ x = 9

The age of daughter = 9 years

So,

The age of mother = 4x

⇒ 4 (9)

⇒ 4 × 9

⇒ 36

6 years ago:

The age of mother = 36 - 6 = 30

30 years

Therefore,

Mother’s age (6 years ago) was 30 years.