Question

Sum of ages of mother and her daughter is
60 years. After 15 years mother's age will be
twice as that of her daughter's age at that time.
Find their present ages.​

Answer 1

Answer:

Mother's age = 45 years

Daughter's age = 15 years

Step-by-step explanation:

Let, Mother's age = X years

Daughter,s age = Y years

So,

1st condition.

X + Y = 60 ————————(Equation 1)

After 5 years,

Mother's age = X + 15

Daughter, s age = Y + 15

So,

2nd condition,

Mothers age = Twice of Daughter's age

X + 15 = 2 ( Y + 15 )

X + 15 = 2Y + 30

X - 2Y = 15 ———————(Equation 2)

From 1 and 2,

By elimination,

X + Y = 60

X - 2Y = 15

- + -

3Y = 45

Y = 15

Now, X + Y = 60

X + 15 = 60

X = 45

X = 45

Y = 15

HOPE IT HELPS YOU.

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