Question

the present age of father is thrice that of his son 5 years from now age of father will be 8 years more than twice his son's age. find the present age​

Answer 1

Answer: Father = 39 , Son=13

Step-by-step explanation:

Since we don't know the exact age we can consider creating equations and assume son's present age as x and write father's age in terms of x.

Age of son = x

Thrice means we have to multiply by 3. So, 3 x $x$

Age of father = 3x

After 5 years means we have to add 5 with the present age

Age of son after 5 years=(x+5)

Twice means we have to multiply by 2. And 8 more means we have to add 8. So, the expression will come as,

Age of father after 5 years =2(x+5) + 8

Now we can take,

Difference between father's age from five years before and five years later is 5. (Ex: If son's age was 5 at present, then five years later his age would be 10; the difference between these two ages is (10-5) five.)

2(x+5)+8 - 3x = 5

      2x+18-3x = 5

                  -x = 5-18

                  -x = -13

                    x = 13 (Present age of son)

So, if son's present age is 13, then father's age is thrice the number.

So, 3x = 3 x 13

           = 39 (Present age of Father)

Hope it was understandable.

If you found my answer helpful, please mark me as brainliest.

Answer 2

Step-by-step explanation:

Step -1: Forming equations.

Step -1: Forming equations. Let, present age of son = x

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i)

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii)

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3)

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3) ⇒3x+6=10+2x+6

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3) ⇒3x+6=10+2x+6 ⇒3x−2x=10+6−6

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3) ⇒3x+6=10+2x+6 ⇒3x−2x=10+6−6 ⇒x=10

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3) ⇒3x+6=10+2x+6 ⇒3x−2x=10+6−6 ⇒x=10 ∴Present age of son = 10

Step -1: Forming equations. Let, present age of son = x And, present age of father = 3x+3 3 years later, age of son = x+3 age of father = 3x+3+3=3x+6 ...(i) According to the given condition, age of father = 10+2(x+3) ...(ii)Step -2: Solving for x From (i) and (ii) ∴3x+6=10+2(x+3) ⇒3x+6=10+2x+6 ⇒3x−2x=10+6−6 ⇒x=10 ∴Present age of son = 10 and present age of father =3x+3=3×10+3=33