Question

Five years earlier Ram was three times older than Shyam. The age of Ram will twice the age of Shyam after 10 years. The present age of Ram and Shyam is

Answer 1

Hiii friend,

Let the age of ram and shyam be X and Y year's.

Before five years age of ram = (X-5) years.

Before five years age of shyam = (Y-5) years.

According to question,

(X-5) = 3(Y-5)

X -5 = 3Y -15

X-3Y = -15+5

X-3Y = -10......(1)

Again,

After 10 years age of ram = (X+10) years.

After 10 years age of shyam = (Y+10) years.

According to question,

(X+10) = 2(Y+10)

X +10 = 2Y +20

X -2Y = 20-10

X -2Y = 10.......(2)

From equation 1 we get,

X-3Y = -10

X = -10 +3Y......(3)

Putting the value of X in equation (2)

X -2Y = 10

(-10 + 3Y ) -2Y = 10

-10 + 3Y -2Y = 10

Y-10 = 10

Y = 10+10

Y = 20 years.

Putting the value of Y in equation (3)

X = -10 + 3Y

X = -10 + 3 × 20

X = -10 + 60 = 50 years.

Age of ram = X = 50 years.

And,

Age of shyam = Y = 20 years.

HOPE IT WILL HELP YOU..... :-)

Answer 2

r-5=3(s-5)
r=3s-10
r+10=2(s+10)
3s-10+10=2s+20
s=20
r=50