Question

The sum of father's present age and son's present age=100yrs.If we half the age of father and add to present age of son we get 65yrs.Find the present age of father and son.​

Answer 1

Answer:

Step-by-step explanation:

let fathers age = x

let sons age = y

therefore

x+y = 100

and

$\frac{x}{2}$ + y = 65

therefore x + y - $\frac{x}{2}$ - y = 100 - 65

or x/2 = 35

x = 70

therefore y = 30 (x+y = 100)

of fathers age = 70

sons age = 30

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Answer 2

✬ Father's age = 70 Years ✬

✬ Son's age = 30 Years ✬

Step-by-step explanation:

Given:

• Sum of father and son age is 100 years.
• Sum of half of father's age and son's age is 65 years.

To Find:

• What is the present ages of son and father ?

Solution: Let the father's age be x and son's age be y years.

➟ Father + son = 100

➟ x + y = 100

➟ y = 100 – x......(1)

Now,

• Half of father age = x/2

A/q

• Sum of half of father's age and son's age is 65 years.

$\implies{\rm }$ x/2 + y = 65

$\implies{\rm }$ x/2 + (100 – x) = 65

$\implies{\rm }$ x + 200 – x/2 = 65

$\implies{\rm }$ – x + 200 = 65(2)

$\implies{\rm }$ – x = 130 – 200

$\implies{\rm }$ – x = – 70

$\implies{\rm }$ x = 70

So, Present ages of

➙ Father is x = 70 years

➙ Son is y = 100 – 70 = 30 years