silviahansona19 silviahansona19
  • 08-03-2020
  • Mathematics
contestada

A fathers age is three less than two times the sons age. The difference in their ages is 30 years. Find the fathers age

Respuesta :

frika
frika frika
  • 16-03-2020

Answer:

Father's age is 63 years

Step-by-step explanation:

Let x years be the son's age.

A fathers age is three less than two times the sons age, then the father's age is

[tex]2x-3[/tex] years.

The difference in their ages is 30 years, hence

[tex](2x-3)-x=30[/tex]

Solve this equation:

[tex]2x-3-x=30\\ \\2x-x-3=30\\ \\x-3=30\\ \\x-3+3=30+3\\ \\x=33\\ \\2x-3=2\cdot 33-3=66-3=63[/tex]

Son's age is 33 years, father's age is 63 years

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