The age of father is 2 years more than five times the age of his son. If the sum of their ages is 38 years, find the age of each of them
hello
Share
The age of father is 2 years more than five times the age of his son. If the sum of their ages is 38 years, find the age of each of them
hello
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Given :
To find :
Assumption :
⠀⠀⠀⠀Let the age of the son be x yrs.
Solution :
As we have assumed age of the son to be x yrs, then
5 times the age of the son = 5x
Now according to the question,
[tex]\sf\:Age~of~father~= 2~yrs~more~than~five~times~the ~sons~age[/tex]
Formulating the word problem into equation
[tex]\sf\implies\:Age~of~father~=~2+5x[/tex]
Again we have,
[tex]\sf\:Sum~of~fathers~and~sons~age~=~38~yrs[/tex]
Again formulating the word problem into equation
[tex]\sf\implies\:2+5x+x~=~38[/tex]
Solving the equation
[tex]\sf\to\:2+6x~=~38[/tex]
[tex]\sf\to\:6x~=~38-2[/tex]
[tex]\sf\to\:6x~=~36[/tex]
[tex]\sf\to\:x~=~\cancel{\frac{36}{6}}[/tex]
[tex]\small{\underline{\boxed{\mathrm{\to\:x=6~yrs}}}}[/tex]
Therefore,
➻Age of the son = x = [tex]\small\red{\tt\pmb{6~yrs}}[/tex]
➻Age of the Father = 2 + 5x = 2 + 5 × 6 = [tex]\small\red{\tt\pmb{32~yrs}}[/tex]
⠀⠀⠀⠀
════════════════════════
Scroll left to right to view the answer properly!~
Answer :
Given :
To find :
Solution :
Given,
The age of father is 2 years more than five times the age of his son so,
According to Question :
The age of father is 2 years more than five times the age of his son so,
⤍ Age of father = 2 + 5x years
and also Given,
⤍x + 2 + 5x = 38
⤍ 2 + 6x = 38
⤍ 6x = 38 - 2
⤍ 6x = 36
⤍ x = 36/6
⤍x = 6 years
Finding the ages of son and father :
⤍ Age of son = x years
⤍ Age of son = 6 years
⤍ Age of father = 2 + 5x
⤍ Age of father = 2 + 5(6)
⤍ Age of father = 2 + 30
⤍ Age of father = 32 years
Hence , Age of son is 6 years and Age of father is 32 years
Verification :
⤍ x + 2 + 5x = 38
⤍ 6 + 2 + 5(6) = 38
⤍8 + 30 = 38
⤍ 38 = 38
Hence , Verified