Math, asked by salamon06l, 5 months ago


40,2 years ago a father was 6 times older than his son. After 18 years he will become double as old as his son. Find the present age​

Answers

Answered by mahi3690
0

Answer:

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Answered by MagicalBeast
2

Let :

  • Present age of father = x years
  • Present age of son = y years

Given :

  • 2 years ago , father was 6 times older than his son
  • After 18 years he will become double as old as his son

To find :

  • Present age of father
  • Present age of son

Solution :

2 years ago -

  • Age of father = x-2
  • Age of son = y-2

Also , Age of father = 6×Age of son

(x-2) = 6(y-2)

x-2 = 6y - 12

x = 6y - 12 + 2

x = 6y - 10 ....... equation 1

18 years later -

  • Age of father = x+18
  • Age of son = y+18

Also , Age of father = 2×(age of son)

(x+18) = 2×(y+18)

x + 18 = 2y + 36

x = 2y + 36 - 18

x = 2y + 18 .......... equation 2

Putting value of, x from equation 1 into equation 2,

we get;

6y - 10 = 2y + 18

6y - 2y = 18 + 10

4y = 28

y = 28 ÷ 4

y = 7

Putting value of y in equation 1, we get ;

x = 6(7) - 10

x = 42 - 10

x = 32

ANSWER :

  • Present age of father = 32 years
  • Present age of son = 7 years
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