Question

Sum of ages of father and thr son is 40 years. if father's age is three times that of his son then find their respective ages​

Answer 1

Answer:

let the sons age be x and fathers age be 3x

x + 3x = 40

4x =40

x =10

Son's age=x =10

Father's age= 3x =3*10 =30

Answer 2

$\huge \ {\mathfrak{{ \underline{ \underline{ \bigstar{Answer}{ \bigstar}}}}}}$

• Son's age = 10 years

• Father's age = 30 years

Step-by-step explanation:

$\huge \mathbb{ \red{{ \boxed{ \underline{ \underline{ \bf{GiveN}}}}}}}$

• Sum of father's an son's age is 40 years.

• Father's age is 3 times that of his son.

$\huge \mathbb{ \blue{{ \boxed{ \underline{ \underline{ \bf{To\: Find}}}}}}}$

• Their respective ages.

$\huge \mathbb{ \green{{ \boxed{ \underline{ \underline{ \bf{SolutioN}}}}}}}$

• Let the son's age be x

• So, father's age = 3 times son's age

• = 3x

• Given that their sum of ages = 40

• So, x + 3x = 40

• 4x = 40

• x = $\bf \: \frac{40}{4}$

• x = 10

So, first we assumed that x is the age of son

So, son's age = 10 years

We also assumed that father's age = 3x

= 3 × 10 = 30 years

♤__________________♤

$\huge \mathbb{ \red{{ \boxed{ \underline{ \underline{ \bf{Checking}}}}}}}$

To check our Answer we have to add the ages of son and father and check whether our sum is 40

Son's age = 10 years

Father's age = 30

30 + 10 = 40

40 = 40

Hence Verified ✔✔