Question

A mother is three times as old as her daughter. Six years ago, the mother's age was six tines that of her daughter. How old are they now? ​

Answer 1

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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Answer:

• The daughter's is 10 years old and the mother is 30 years old.

Given:

• A mother is three times as old as her daughter. Six years ago, the mother's age was six tines that of her daughter.

Need To Find:

• How old are they now? 

Explanation:

Let x represent the daughter's age.

Therefore:

• 3x is the mother's age.

➠ 6(x - 6) = 3x - 6

➠ 6x - 6 = 3x - 6

➠ 3x = 30

➠ x = 10

• Hence, the daughter's is 10 years old and the mother is 30 years old.

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Answer 2

Step-by-step explanation:

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

According to first condition

x= 3y

Six years ago their ages be x-6 and y-6

x - 6 = 6 (y - 6)

x-6 = 6y - 36

putting the 3y in the place of x

3y - 6 = 6y - 36

6y - 3y = -6 +36

3y = 30

y= 30/3

y= 10

Splitting the value of y in

x=3y

x= 3(10)

x= 30

So the present age of mother and daughter are 30 and 10 respectively.

I hope it will help you!