The ratio of Rayan's age to duku's age is 6:7.After 12 years, the ratio of their ages will be 12:13.Find their their present age.
Answers
Step-by-step explanation:
Let rayans age be 6x and dukus 7x
After12 years their ages are 6x+12 and 7x+12 which is equal to 12x is to 13x
6x+12/7x+12=12x/13x
3x(6x+12)=12x(7x+12)
18x^2+36=84x^2+144
X=root of 18/11
GIVEN :
- The ratio of the present age of Rayan and Duke is 6 : 7
- After a duration of 12 years they turns to the ratio of 12 : 13 years
TO FIND :
- The present age of Rayan and Duke.
SOLUTION :
Let us consider that their present age is :
6x and 7x respectively.
Hence , after 12 years ratio their of age will be : (6x + 12) and (7x + 12) years respectively.
Which is also equal to the ratio of 12 : 13
Therefore,
The equation formed is as follows :
According to the question :
Thus,
Verification :
It is told here that their ages will be in the ratio 12 : 13 after 12 years duration
Hence,
After 12 years their ages :
✥ Rayan's age = 12 + 12 = 24 years.
✥ Duke's age = 14 + 12 = 26 years.
Forming in ratio :
24 : 26
Afterall, we get the same ratio as told in the question i.e., 12 : 13 between the duration of 12 years.