Question

Ram's mother is thrice his age now. Ten years from now, she will be twice his age. Ram's present age is ............... years

Hint:

Set up an equation based on the information given for future ages and solve it to find the present age.

Answer 1

Correct Answer: 9.9

Step 1: Set up equations for the present age.
Let Ram's present age be \( x \) years. Then his mother's present age is \( 3x \) years.

Step 2: Use the condition for ten years from now.
In 10 years, Ram's age will be \( x + 10 \), and his mother's age will be \( 3x + 10 \). According to the problem, his mother's age in 10 years will be twice Ram's age, so: \[ 3x + 10 = 2(x + 10). \]

Step 3: Solve for \( x \).
Expanding the equation: \[ 3x + 10 = 2x + 20, \] \[ 3x - 2x = 20 - 10, \] \[ x = 10. \]

Step 4: Conclusion.
Ram's present age is 10 years.