Question

t present the sum of ages of father and daughter is 65 years.what will the sum of their ages after 7 years​

Answer 1

Answer:

Let the ages of father and his son be x and y respectively.

Case I:- The sum of the ages of father and his son is 65 years.

age of father + age of son = 65

⇒x+y=65⟶(i)

Case II:- After 5 years, fathers age will be twice the age of his son.

Age of father = 2 (age of son)

⇒x+5=2(y+5)

⇒x+5=2y+10

⇒x=2y+5⟶(ii)

From eq

n

(i)&(ii), we have

(2y+5)+y=65

⇒3y=65−5

⇒y=20

Substituting the value of y in eq

n

(i), we have

x+20=65

⇒x=45

Hence, the present age of father and son is 45 and 20 respectively and equation (i)&(ii) are the pair of linear equations in two variables.

Step-by-step explanation:

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Answer 2

Given,

Sum of the present ages of father and daughter = 65

To find,

Sum of their ages, after 7 years.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let,

Present age of father = x years

Present age of daughter = y years

Sum of their present ages = (x+y) years

According to the data mentioned in the question,

x+y = 65

Now,

Age of father after 7 years = (x+7) years

Age of daughter after 7 years = (y+7) years

Sum of their ages after 7 years :

= x+7+y+7

= x+y+14

= 65+14 (As, x+y = 65)

= 79 years

Hence, sum of their ages after 7 years will be 79 years.