sharma is 3 years older then anand. six years ago sharma's age was four time anand's age. find their ages?
Answers
Answered by
1
Answer:
Let,
Anand's age be = x
Therefore, Sharma's age will be = x+3
Thier age six years ago :
Anand = x-6
Sharma = x+3-6 = x-3
Now, According to the question
(x-3) = 4(x-6)
x-4 = 4x - 24
3x = 20
x = 20/3
x = 8.8 i.e 8yrs and 8months
Thus, Anand's age is 8yrs 8months and that of Sharma is 11yrs 8months
Answered by
38
Answer
- The age of Sharma = 12 years
- The age of Anand = 9 years.
Step-by-step explanation:
To Find :-
- The ages of Sharma and Anand.
★ Solution
Given that,
- Sharma is 3 years older than Anand.
- Six years ago Sharma's age was four times Anand's age.
Assumption
Let us assume the age of Anand as (x) years and Sharma's age as (x + 3) years.
Six years ago :-
- Sharma's age = (x + 3) - 6 = (x + 3)
- Anand's age = x - 6
Also given, Six years ago, "sharma's age was four time anand's age"
Sharma's age = 4(x - 6)
Therefore,
⇒ (x + 3) = 4(x - 6)
⇒ x + 3 = 4x - 24
⇒ x - 4x = - 24 - 3
⇒ - 3x = - 27
⇒ 3x = 27
⇒ x = 27/3
⇒ x = 9
The value of x is 9.
Now, The ages are :-
- Age of Sharma = (x + 3) = (9 + 3) = 12 years.
- Age of Anand = (x) = 9 years.
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