if the present ages of a&b are in the ratio of 9:4 and after 7 years there ages are in the ratio of5:3 then find there present age
Answers
Answered by
1
Let the present ages of a and b be 9x and 4x.
Therefore, the present age of a after 7 years be 9x + 7
Therefore the present age of b after 7 years be 4 x + 7
ATP
9x + 7/4 x + 7 = 5/3
= 3(9x + 7) = 5(4x + 7)
= 27x + 21 = 20x + 35
= 27x - 20x = 35 -21
= 7x = 14
= x = 2
Present age of a= 9×2 = 18 years.
Present age of b= 4×2 =8 years.
Answered by
12
Given :-
- The present ages of a&b are in the ratio of 9:4.
- After 7 years there ages are in the ratio of 5:3.
To find :-
- Their present age.
Solution :-
✪The present ages of a & b are in the ratio of 9:4.✪
Let the present age of a be 9x years and the present age of b be 4x years.
★ After 7 years,
Age of a = (9x+7) years
Age of b = (4x +7) years
✪After 7 years there ages are in the ratio of 5:3✪
According to the question,
★Present age of a = 9×2 = 18 years
★Present age of b = 4×2 = 8 years
Therefore, present age of a is 18 years and present age of b is 8 years.
Similar questions