20
4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5. After 6 years, this ratio would become 4 : 5. Find present age of Rahul?
- A10
- B15
- C14
- D17
Answer not set
Log in or create a free account to reply and vote.
0
CCommunity
Let the present age of vikas and Rahul be x and y
Given that 4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5
⇒ (x - 4)/(y - 4) = 3/5
⇒ 5x - 20 = 3y - 12
⇒ 5x - 3y = 8 ----equation (1)
Also given that after 6 years, this ratio would become 4 : 5
⇒ (x + 6)/(y + 6) = 4/5
⇒ 5x + 30 = 4y + 24
⇒ 5x - 4y = - 6 ----eqaution (2)
By subtracting equation (2) from equation (1), we get
y = 14
∴ Present age of Rahul y = 14 years
Given that 4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5
⇒ (x - 4)/(y - 4) = 3/5
⇒ 5x - 20 = 3y - 12
⇒ 5x - 3y = 8 ----equation (1)
Also given that after 6 years, this ratio would become 4 : 5
⇒ (x + 6)/(y + 6) = 4/5
⇒ 5x + 30 = 4y + 24
⇒ 5x - 4y = - 6 ----eqaution (2)
By subtracting equation (2) from equation (1), we get
y = 14
∴ Present age of Rahul y = 14 years
0
CCommunity
Let the present age of vikas and Rahul be x and y
Given that 4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5
⇒ (x - 4)/(y - 4) = 3/5
⇒ 5x - 20 = 3y - 12
⇒ 5x - 3y = 8 ----equation (1)
Also given that after 6 years, this ratio would become 4 : 5
⇒ (x + 6)/(y + 6) = 4/5
⇒ 5x + 30 = 4y + 24
⇒ 5x - 4y = - 6 ----eqaution (2)
By subtracting equation (2) from equation (1), we get
y = 14
∴ Present age of Rahul y = 14 years
Given that 4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5
⇒ (x - 4)/(y - 4) = 3/5
⇒ 5x - 20 = 3y - 12
⇒ 5x - 3y = 8 ----equation (1)
Also given that after 6 years, this ratio would become 4 : 5
⇒ (x + 6)/(y + 6) = 4/5
⇒ 5x + 30 = 4y + 24
⇒ 5x - 4y = - 6 ----eqaution (2)
By subtracting equation (2) from equation (1), we get
y = 14
∴ Present age of Rahul y = 14 years