Question

Ramu is now half as old as his father. Twenty years ago,ramu's father was six times ramu's age . What are their ages now?

Answer 1

$\underline{\textbf{Refer To Attachment.}}$

Let Present Age of Father=X years

Then Ramu Age=X/2 years

20 years Ago

Father age was=x-20 years

Ramu Age=X/2-20 years

$\underline{\textbf{Father is also 6 times Son age.}}$

$x - 20 = 6( \frac{x}{2} - 20) \\ \\ x - 20 = \frac{6x}{2} - 120 \\ \\ x - \frac{6x}{2} = - 12 0 + 20 \\ \\ - \frac{4x}{2} = - 100 \\ \\ x = 100 \times \frac{2}{4} \\ \\x = 50$

$\boxed{\mathtt{\huge{Father=50\: years}}}$

$\boxed{\mathtt{\huge{Ramu=25\:years}}}$

Answer 2

$\huge\bf\pink{\mid{\overline{\underline{Your\: Answer}}}\mid}$

_______________

________

Present age of

RAMU = 25 YRS.

RAMU'S FATHER = 50 YRS.

________

_______________

step-by-step explanation:

Question:-

Ramu is now half as old as his father. Twenty years ago,ramu's father was six times ramu's age . What are their ages now?

Solution:-

Let the present age of Father be 2x yrs.

Therefore,

present age of Ramu is (2x/2) i.e., x years.

Now,

Twenty years ago,

Father's age = (2x-20) years

and

Ramu's age = (x-20) years

A.T.Q

2x - 20 = 6(x -20)

=> 2x - 20 = 6x - 120

=> 6x - 2x = 120- 20

=> 4x = 100

=> x = 100/4

=> x = 25

Hence,

Present age of

RAMU = 25 YRS.

RAMU'S FATHER = 50 YRS.

____

___________

_______________