Question

the present age of Ramu is half of his father's age 10 years ago his age was one- third to his father .the present age of Ramu is​

Answer 1

Let the Present Age of Ramu's Father be : R

●  Present Age of Ramu is Half of his Father's Age

$\mathrm{\implies Present\;Age\;of\;Ramu = \dfrac{R}{2}}$

10 Years ago :

●  Age of Ramu's Father = R - 10

●  $\mathrm{Age\;of\;Ramu = \bigg(\dfrac{R}{2} - 10\bigg)}$

●  Ramu's Age was one - third to his Father

$\mathrm{\implies \bigg(\dfrac{R}{2} - 10\bigg) = \dfrac{1}{3} \times (R - 10)}$

$\mathrm{\implies \dfrac{R - 20}{2} = \dfrac{R - 10}{3}}$

$\mathrm{\implies 3(R - 20) = 2(R - 10)}$

$\mathrm{\implies 3R - 60 = 2R - 20}$

$\mathrm{\implies 3R - 2R = 60 - 20}$

$\mathrm{\implies R = 40}$

$\implies \text{Present Age of Ramu's Father = 40\;years}$

$\mathrm{\implies Present\;Age\;of\;Ramu = \dfrac{40}{2} = 20\;years}$

Answer 2

Answer: 20 years

Present age of

• Ramu = 20 years

• Ramu's father = 40 years

Hope it helps..!