Question

Ramans age is three times the sum of the ages of his two 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:

The age of Raman is 45 years

Step-by-step explanation:

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Answer 2

Solution:

Let Raman's age = x

Let sum of his two sons age = y

now x = 3y.......(1)

x - 3y = 0

After 5 years,

x + 5 = 2(y + 10)

x + 5 = 2y + 20

x - 2y = 20 - 5

x - 2y = 15.......(2)

Step(1)

From equation (1) x = 3y

Step(2)

Substitute x = 3y in (2)

3y - 2y = 15

y = 15

Step (3)

Substitute y = 15 in(1)

x = 3y

x = 3(15)

x = 45

Hence, Raman's age is 45 years and sum of his two sons age is 15.