Question

The difference between the ages of a mother and her daughter is 24 years. The
sum of the reciprocals of their ages is
1
9
Complete the following activity to find mother's age.
Let the mother's present age be x years.
Then the daughter's present age is
years
The reciprocal of mother's age is
1
The reciprocal of daughter's age is
X-24
From the given condition,
1
1
+
Х
X - 24
Simplifying, 18x- = x2 - 24x
x2
X + 216 = 0
Factorising, (x-36) (X- 6) = 0
..x = 36 or x = 6
x=6 is because the mothers present age cannot be 6 years.
Mother's present age is 36 years.​

Answer 1

Answer:

24 YEARS

Step-by-step explanation:

Let the daughter's age be x years.

Hence, mother's age will be (x+21) years

Now, 12x(21+x)=x+21−18=x+3

∴x(21+x)=12x+36

∴21x+x2=12x+36

∴x2+9x−36=0

∴(x−3)(x+12)=0

Since age can only be positive, so x=3.

Thus mother's age is 21+3=24 years.

Answer 2

Answer:

as with the question also

hii am ajay

Step-by-step explanation:

The difference between the ages of a mother and her daughter is 24 years. The

sum of the reciprocals of their ages is

1

9

Complete the following activity to find mother's age.

Let the mother's present age be x years.

Then the daughter's present age is

years

The reciprocal of mother's age is

1

The reciprocal of daughter's age is

X-24

From the given condition,

1

1

+

Х

X - 24

Simplifying, 18x- = x2 - 24x

x2

X + 216 = 0

Factorising, (x-36) (X- 6) = 0

..x = 36 or x = 6

x=6 is because the mothers present age cannot be 6 years.

Mother's present age is 36 years.