Question

The Present age of Atul's father is three times his present age. After 5 years, sum of their ages will be 70 years. Find their present age.​

Answer 1

Answer:-

Let, Present age of Atul be x years and his father be y years.

Given:-

Atul's father is thrice Atul's age.

⟹ y = 3x -- equation (1).

Also given that,

After 5 years , sum of their ages will be 70 years.

• Atul's age after 5 years = (x + 5) years.
• Atul's father's age after 5 years = (y + 5) years.

According to the above condition;

⟹ x + 5 + y + 5 = 70

Substitute the value of y from equation (1).

⟹ x + 3x = 70 - 5 - 5

⟹ 4x = 60

⟹ x = 60/4

⟹ x = 15 years

Substitute the value of x in equation (1).

⟹ y = 3x

⟹ y = 3(15)

⟹ y = 45 years.

∴

• Present age of Atul = 15 years.

• Present age of Atul's father's age = 45 years.

Answer 2

Answer:

Given :-

• The present age of Atul's father is three times his present age. After 5 years, sum of their ages will be 70 years.

To Find :-

• What is their present ages.

Solution :-

Let, the present age of Atul be x years

And, the present age of Atul's father will be 3x years

$\leadsto$ After 5 years,

Age of Atul is x + 5 years

And, the age of Atul's father will be 3x + 5 years

According to the question :-

↦ $\sf x + 5 + 3x + 5 =\: 70$

↦ $\sf x + 3x + 5 + 5 =\: 70$

↦ $\sf 4x + 10 =\: 70$

↦ $\sf 4x =\: 70 - 10$

↦ $\sf 4x =\: 60$

↦ $\sf x =\: \dfrac{\cancel{60}}{\cancel{4}}$

➠ $\sf\bold{\pink{x =\: 15\: years}}$

Hence, the present age of Atul and his father is :

$\longmapsto$ Present age of Atul :

$\implies$ $\sf x\: years$

$\implies$ $\sf\bold{\red{15\: years}}$

$\longmapsto$ Present age of Atul's father :

$\implies$ $\sf 3x\: years$

$\implies$ $\sf 3(15)\: years$

$\implies$ $\sf 3 \times 15\: years$

$\implies$ $\sf\bold{\red{45\: years}}$

$\therefore$ The present age of Atul is 15 years and the present age of Atul's father is 45 years.