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kozerog [31]
2 years ago
10

A father is 25 years older than his son. 10 years ago, he was six times as old his son. What are their present ages?​

Mathematics
2 answers:
vovikov84 [41]2 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

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

Equations formed :

  1. x = y + 25
  2. x - 10 = 6(y - 10)

Substitute value of x from Equation 1 in Equation 2.

  • y + 25 - 10 = 6(y - 10)
  • y + 15 = 6y - 60
  • 6y - y = 15 + 60
  • 5y = 75
  • y = 15

Solution :

  1. Son = y = 15 years
  2. Father = y + 25 = 15 + 25 = 40 years
RoseWind [281]2 years ago
3 0

Answer:

Present age of son = 15 years

& Present age of father = 40 years

Step-by-step explanation:

  • Let the son's present age be x years

  • -> Father's present age = (x + 25) years

  • 10 years ago:
  • Son's age = (x - 10) years

  • Father's age = (x +25 -10) = (x +15) years

  • It is given that: 10 years ago father was six times as old as his son

  • -> x + 15 = 6(x - 10)

  • -> x + 15 = 6x - 60

  • -> x- 6x = - 60 -15

  • -> -5x = - 75

  • -> x = -75/(-5)

  • -> x = 15

  • -> x + 25 = 15 + 25 = 40

  • -> Present age of son = 15 years

  • & Present age of father = 40 years.
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