Rohini’s mother is 30 years older than her. After 8 years, she would be four times older than Rohini.
Find the present age of Rohini
Answers
Given:
Rohini’s mother is 30 years older than her. After 8 years, she would be four times older than Rohini. Find the present age of Rohini?
To find:
The present age of Rohini
Solution:
Let' say,
"R" → present age of Rohini
"M" → present age of Rohini's mother
Rohini’s mother is 30 years older than her. So, we can form the equation as,
M = R + 30 . . . (1)
After 8 years:
Rohini's age = (R + 8) years
Rohini's mother's age = (M + 8) years
After 8 years, she would be four times older than Rohini. So, we can form the equation as,
M + 8 = 4 (R + 8)
on substituting the value of M from equation (1), we get
⇒ R + 30 + 8 = 4R + 32
⇒ R + 38 = 4R + 32
⇒ 4R - R = 38 - 32
⇒ 3R = 6
⇒ R = 2 years
Thus, the present age of Rohini is → 2 years old.
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