Question

The sum of the ages of a woman and her daughter is 46 years. In 4 years time the ratio of their ages will be 7:2.find their present ages.

Answer 1

Answer:

the age of a woman is 29yrs and the age of daughter is 8yrs.

Answer 2

GIVEN :

• The sum of the ages of a woman and her daughter is 46 years.

• In 4 years time,the ratio of their ages will be 7:2.

To find :

• The present ages = ?

STEP BY STEP EXPLAINATION :

=> Present age of woman = x years

=> Present age of Daughter = y years

According to the 1st condition :-

The sum of the ages of a woman and her daughter is 46 years.

{x+y=46}→x+y=46

{x=46-y.................(1)}→x=46−y.................(1)

According to the 2nd condition :-

In 4 years time,the ratio of their ages will be 7:2.

After 4 years,

Age of woman = (x+4) years

Age of daughter = (y+4) years

→ (x+4) : (y +4) = 7:2

→ x+4/y+4 = 7/2

→ 46-y+4/y+4 = 7/2

→ 50-y/y+4 = 7/2

→7y +28 = 100-2y

→ 7y +2y = 100 -28

→ 9y = 72

→ y = 8

Present age of Daughter = 8 years.

Now put y = 8 in eq(1) .

→ x = 46 - y

→ x = 46 - 8

→ x = 38

Therefore, The Present age of woman = 38 years.