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Age of Rohit is 5 more than twice of Pradeep's age. 6 year ago, age of Pradeep
1
was
of Rohit's age. Find their ages.
Answers
Corrected Question:
Age of rohit is 5 more than twice the age of pradeep .6 year ago age of pradeep was 1/3 of rohits age. Find their age .
Answer:
The ages of Rohit and Pradeep are : 39 years and 17 years respectively.
Given:
➛Age of rohit is 5 more than twice the age
of pradeep.
➛6 year ago age of pradeep was 1/3 of
rohits age.
To Find:
The ages of Rohit and Pradeep.
Solution:
We are given,
➛Age of rohit is 5 more than twice the age
of pradeep.
➛6 year ago age of pradeep was 1/3 of
rohits age.
Let the age of Rohit is 'm' and age of Pradeep is 'n'.
according to the conditions in the question,
➞m = 2n + 5
⛬ m - 2n = 5............ (1)
Now, According to second condition,
n - 6 = ( m - 6 )
⛬ 3n - 12= m .......... (2)
by substituting m = 3n -12 in the first equation we get,
➪( 3n - 12 ) -2n = 5
⛬ 3n - 12- 2n = 5
➪n - 12 = 5
➪n = 12 + 5
➪n = 17
Now, substitute n = 17 in the first equation,
➪m - 2(17) = 5
⛬ m - 34 =5
➪m = 34 + 5
➪m = 39
therefore age of Rohit is 39 and the age of Pradeep is 17.
Answer:
39 and 17 age
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