the difference in age
between Funke
and Uche is 6 years. Five years ago,
The ratio of their ages was 7:5. Find Funke's age. (Assume Funke is older.)
Answers
Answer:
21 years in funkes age he is older
Given:
The Age difference between Funke and Uche is 6 years (Funke being older).
Five years ago ages were in the ratio 7:5.
To find:
The present age of Funke.
Solution:
1. Let the age of Funke and Uche be x and y respectively.
2. Present age difference between Funke and Uche is 6 i.e,
Funke's age - Uche's age =6
=> x-y = 6 (Assume this as equation 1).
=> x = y+6.
3. Five years ago the ratio of their ages was 7:5 i.e,
(Funke's age/ Uche's age) = (7/5)
=> (x-5/y-5)=(7/5) (Assume it as equation 2).
4. Considering equation 2 and solving it into simpler terms we get,
5*(x-5) = 7*(y-5).
=> 5x-25 = 7y -35.
=> 7y - 5x = 10 (Assume as equation 3).
5. Substitute the value of x as y+6 in equation 3 ( x is obtained from equation 1 as y+6)
=> 7y -5(y+6) = 10,
=> 7y - 5y -30 = 10,
=> 2y = 40,
=> y=20. ( Uche's age)
6. Substitute the value of y in equation 1 to get the value of x,
=> x=y+6,
=> x=26. (Funke's age)
Therefore the age of Funke is 26.