After 10 years, Rohan's age will be twice that of Sohan's age10 years ago. If Rohan is 9 years older than Sohan now, what is Sohan's present age ?
Answers
Answer:39
x= x+9
(x-10)2=(x+19)
2x-20=x+19
2x-x=+19+20
x=39
Step-by-step explanation:
Sohan's present age is 19 years.
Given:
After 10 years, Rohan's age will be twice that of Sohan's age10 years ago. If Rohan is 9 years older than Sohan.
To Find:
The Sohan's present age.
Solution:
To find the Sohan's present age we will follow the following steps:
As we know,
Let the sohan's present age = x
Now, according to the question-
Sohan's age 10 years ago = x - 10
Rohan's age after 10 years = 2 × Sohan's age 10 years ago.
So,
Rohan's age after 10 years = 2 × (x - 10).
Rohan is 9 years older than sohan so, the difference between their ages will be 9.
Now,
2 × (x - 10) - (x - 10) = 9
2x - 20 - x + 10 = 9
x - 10 = 9
x = 19 years
Henceforth Sohan's present age is 19 years.
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