Question

Q 5. The sum of the ages of a daughter and mother is 56 years; after four years the age of the mother will be three times that of the daughter. What is the age of the daughter and the mother respectively?

12 years, 41 years12 years, 30 years11 years, 34 years12 years, 44 years21 years, 42 years​

Answer 1

$\maltese$ $\bold{\red{\underline{SOLUTION : }}}$ $\maltese$

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Let the present age of the mother be x years and the present age of the daughter be y years

According to the question, x+y = 56 --- (1)

After 4 years, age of the Mother = x+4

Age of the daughter after 4 years = y+4

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So,

x+4 = 3 (y+4) ------- (2)

x+4 = 3y + 12

From the equation (1) we get, x = 56-y

Thus, keep the value of x in equation 2, we get

(56-y) + 4 = 3y + 12

⇒60 – y = 3y + 12

⇒y = 12

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•So, the daughter’s present age is 12 years .

•Mother’s present age = 56-12 = 44 years.

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Answer 2

Given :

• The sum of the ages of a daughter and mother is 56 years.

• After four years the age of the mother will be three times that of the daughter.

To find :

• The age of the daughter and the mother respectively =?

Step-by-step explanation :

Let, the present age of daughter's be, x.

Then, the present age of mother's b, 3x.

After 4 years daughter's age will be, x + 4

After 4 years mother's age will be, 3x + 4.

According to the question :

➮ (x + 4) + ( 3x + 4) = 56

➮ x + 4 + 3x + 4 = 56

➮ 4x + 8 = 56

➮ 4x = 56 - 8

➮ 4x = 48

➮ x = 48/4

➮ x = 12.

Therefore, We got the value of, x = 12.

Hence,.

The present age of daughter's , x = 12 years.

Then, the present age of mother's, (56 - 12) = 44 years.