Math, asked by nikitashaw30, 5 months ago

The sum of ages of father and his son is 60 years after 14 years father's age will be three times the age of the son. find the present ages​

Answers

Answered by saksham1705
4

Step-by-step explanation:

let the age of son be X

A/Q son's age + father's age = 60

therefore, X + father's age = 60

father's age = 60-X

after 14 years age of son= x+ 14

and age of father after 14 years = 60-X+14= 74-X

A/Q

father's age will be 3 times son's age

this implies

74-X = 3(X+14)

this implies

74-X=3X + 42

this implies

4X=32

X= 8

this implies son's age is 8 years

and father's age = 60-X= 60- 8 =52

Answered by Anonymous
7

\large\mathbf{QUESTION}

The sum of ages of father and his son is 60 years after 14 years father's age will be three times the age of the son. find the present ages.?

\huge\tt\pink{\boxed{\tt{\blue{✧\:Answer}}}}

☞︎︎︎Let the present ages of son and father be x and (60 -x) years respectively.

❥︎Then, (60 - x) - 6 = 5(x - 6)

⇒ 54 - x = 5x - 30

⇒ 6x = 84

⇒ x = 14

∴ Son's age after 6 years = (x + 6) = 20 years.

✰_______________________✰

\large\mathbf{Hope\: it \: helps❤}

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