Question

Ryan age is 4 times that of Ranger. 3 years back, Ryan was 5 times as old as Ranger . What are their present ages? 
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Answer 1

Step-by-step explanation:

Given:-

• Age of Ryan is 4 times as that of Ranger.

• 3 years ago, Ryan was 5 times as old as Ranger.

To Find:-

• The present ages of Ryan are Ranger.

Solution:-

Let the present age of Ranger be x

As, Ryan is 4 times as old as Ranger.

Present age of Ranger = 4x

3 years ago:-

Age of Ranger = x - 3

Age of Ryan = 4x - 3

Given, Ryan was 5 times as old as Ranger.

$\sf \implies4x - 3 = 5(x - 3)$

$\sf \implies4x - 3 = 5x - 15$

$\sf \implies5x - 4x = 15 - 3$

$\sf \implies x = 12$

▪︎ x = 12

▪︎ 4x = 12 × 4 = 48

We have:-

• x = 12

• 4x = 48

Therefore:-

Present age of Ryan = 48 years

Present age of Ranger = 12 years

Answer 2

Step-by-step explanation:

Given:-

Age of Ryan is 4 times as that of Ranger.

3 years ago, Ryan was 5 times as old as Ranger.

To Find:-

• The present ages of Ryan are Ranger.

Solution:-

Let the present age of Ranger be x

As, Ryan is 4 times as old as Ranger.

Present age of Ranger = 4x

3 years ago:-

• Age of Ranger = x - 3

• Age of Ryan = 4x - 3

Given, Ryan was 5 times as old as Ranger.

⟹$4x−3=5(x−3)$

⟹$4x−3=5x−15$

⟹$5x−4x=15−3$

⟹$x=12$

▪︎ x = 12

▪︎ 4x = 12 × 4 = 48

We have:-

• x = 12

• 4x = 48

Therefore:-

Present age of Ryan = 48 years

Present age of Ranger = 12 years