Question

Ramans age is 3 times the sum of his 2 sons.after 5 years his age will be twice the sum of the ages of his two sons.find the age of raman

Answer 1

Answer:

Step-by-step explanation:

Answer 2

✬ Raman's Age = 45 Years ✬

Step-by-step explanation:

Given:

• Raman's age is 3 times the sum of his 2 sons.
• After 5 years Raman's age will be twice the sum of the ages of his two sons.

To Find:

• What is the present age of Raman

Solution: Let the age of Raman be x years and the age of his son's be a & b years respectively.

• Raman age is 3 times sum of his son's ages.
• x = 3 ( a + b ) or,
• x/3 = (a + b) .............(1)

★ Their ages after 5 years will be ★

• Raman's age = (x + 5) Years.
• His son's ages = (a + 5) & (b + 5) Years.

$\small\implies{\sf }$ (x + 5) = 2 [ (a+5) + (b+5) ]

$\small\implies{\sf }$ (x + 5) = 2 [ a + b + 10 ]

$\small\implies{\sf }$ (x + 5) = 2a + 2b + 20

$\small\implies{\sf }$ (x + 5) = 2 (a + b) + 20

$\small\implies{\sf }$ (x + 5) = 2 (x/3) + 20 { From equation 1 }

$\small\implies{\sf }$ x + 5 = 2x/3 + 20

$\small\implies{\sf }$ x – 2x/3 = 20 – 5

$\small\implies{\sf }$ 3x – 2x/3 = 15

$\small\implies{\sf }$ x/3 = 15

$\small\implies{\sf }$ x = 15 x 3

$\small\implies{\sf }$ x = 45

Hence, Raman's age is x = 45 Years.