Question

16. Fill in the blanks:
(a) Ram is twice as old as Shyam. If 10 years ago, Ram was 4 times as old
as Shyam, then the present ages of Ram and Shyam are______,______
Give step by step explanation of your answer.​​

Answer 1

ramu' s age is 20 and the shyam's age is 25

Answer 2

Given

• Ram is twice as old as Shyam.
• 10 years Ago Ram was 4 times as old as Shyam.

To find

• Present ages of Shyam and Ram

Solution

Let the age of Shyam be x and the age of Ram be 2x.

10 years ago,

Their ages :-

• Ram's age = 2x - 10 years
• Shyam's age = x - 10 years

According to the question,

⟶ 2x - 10 = 4(x - 10)

⟶ 2x - 10 = 4x - 40

⟶ 2x - 4x = - 40 + 10

⟶ - 2x = - 30

⟶ 2x = 30

⟶ x = 30/2

⟶ x = 15

The value of x = 15.

∴ Their present ages :-

• Ram's age = 2x = 2 × 15 = 30 years
• Shyam's age = x = 15 years

❖ Ram is twice as old as Shyam. If 10 years ago, Ram was 4 times as old as Shyam, then the present ages of Ram and Shyam are 30 years and 15 years.

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