Question

The product of present age of mother and daughter as
300. When the daughter becomes as old as
how the sum of their ages will be 80
the mother
so find their
present age

Answer 1

Answer:

Let the current ages of Daughter and Mother by X and Y.

Given X + Y = 38.

After one year, the ages and sum will be,

(X + 1) + (Y + 1) = X + Y + 2 = 38 +2 = 40.

Also given. mother age will be 4 times the daughters age

=> Y + 1 = 4(X + 1)

=> Y + 1 =4X + 4

=> Y = 4X + 4 - 1 = 4X + 3. —Eq1.

Now, X + Y = 38.

putting Y value from Eq1 in above statement we get,

X + (4X + 3) = 38

=> 5X + 3 = 38

=> 5X = 38 - 3 = 35.

=> X = 35/5 = 7.

Now, Y = (4X + 3) => 4(7) + 3 = 28 +3 = 31.

current ages of Mother and Daughter are 31 and 7 respectively.

Mothers are at the time of daughter’s birth will be

31 - 7 = 24.

24 yrs