Question

Ram is half of his father 's age.twenty ago the age of father was six times age of ram.find the age of ram and his father.

Answer 1

R = F/2
⇒F = 2R
20 years ago
(F-20) =6(R-20) 
⇒2R -20 = 6R - 120
⇒4R = 100
⇒R = 25 years
age of father will be 25×2 = 50 years

Answer 2

$\mathfrak{Step-By-Step\:Explanation:}$

Let the age of Ram be x years.

So his father's age :

$\tt{=2\times x}\\\\\\\tt{=2x\:years.}$

20 years ago,

Ram's age was = (x - 20) years.

His father's age was = (2x - 20) years.

According to question ,

$\implies\bold{6(x-20)=2x-20}\\\\\\\implies\bold{6x-120=2x-20}\\\\\\\implies\bold{6x-2x=120-20}\\\\\\\implies\bold{4x=100}\\\\\\\implies\bold{x=\dfrac{100}{4}}\\\\\\\implies\bold{x=25.}\\\\\\\boxed{\boxed{\bold{Ram's\:age=25\:years\:\&\:his\:father's\:age=50\:years.}}}$