Question

The sum of present age of mother and daughter is x year . five years hence , the sum of their age will be _________ year
step by step
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Answer 1

Answer:

Let x and y be the present age of mother and her daughter.

Therefore,

x+y=50

⇒x=50−y____(1)

After 20 years, mother's age will be twice her daughter's age at the time.

x+20=2(y+20)

⇒x−2y=20____(2)

From equation (1)&(2), we have

50−y−2y=20

3y=30

⇒y=10

Substituting the value of y in equation (1), we get

x=50−10=40

Hence the present age of mother and her daughter is 40 and 10 years respectively.

Answer 2

Answer:

Hence the present age of mother and her daughter is 40 and 10 years respectively.

Explanation:-

Let x and y be the present age of mother and her daughter.

Therefore,

x+y=50

⇒x=50−y____(1)

After 20 years, mother's age will be twice her daughter's age at the time.

x+20=2(y+20)

⇒x−2y=20____(2)

From equation (1)&(2), we have

50−y−2y=20

3y=30

⇒y=10

Substituting the value of y in equation (1), we get

x=50−10=40

Hence the present age of mother and her daughter is 40 and 10 years respectively.