Aron is 5 years younger than his brother ron. After 4 years Ron's age will be twice of aron's. Find their present ages
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Aron is 5 years younger than his brother ron. After 4 years Ron's age will be twice of aron's. Find their present ages
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Verified answer
Answer:
Present age of Ron = 6 years
Present age of Aaron = 1 year
Step-by-step explanation:
Given:
Aron is 5 years younger than Ron
After 4 years Ron's age will be twice of Aron's
To Find :
Find their present ages
Solution :
Let Ron’s present age be x
Then Aaron’s present age = x - 5
After 4 years
Ron’s age = x + 4
Aaron’s age = x - 5 + 4
According to the question;
Ron will be twice as old as Aaron
Therefore, x + 4 = 2(x - 5 + 4)
⇒ x + 4 = 2(x - 1)
⇒ x + 4 = 2x - 2
⇒ x + 4 = 2x - 2
⇒ x - 2x = -2 - 4
⇒ -x = -6
⇒ x = 6
Therefore,
Aaron’s present age = x - 5 = 6 - 5 = 1
Therefore,
age of Ron = 6 years
age of Aaron = 1 year.
Verified answer
Given :
To find :
Step-by-step explanation :
Let, the present age of Ron's be, x.
Then, the present age of Aron's be, x - 5.
After 4 years Ron's age = x + 4
After 4 years Aron's age = x - 5 + 4.
According to the question :
➮ x + 4 = 2 (x - 5 + 4)
➮ x + 4 = 2( x - 1)
➮ x + 4 = 2x - 2
➮ x - 2x = - 2 - 4
➮ - 1x = - 6
➮ x = 6.
Therefore, We got the value of, x = 6.
Hence,
The present age of Ron's, x = 6 years.
The present age of Aron's , x - 5 → 6 - 5 = 1 year.