Two numbers are in the ratio of 3:5.If 8 is added to each number, then the ratio becomes 2:3 then,the largest number, is
Answers
Answered by
3
Answer:
Answer: The largest number is 40.
Step-by-step explanation:
Given ratio: 3:5
unknown no: x
ATP,
No 1 = 3x
No 2 = 5x
After 8 is added to each number:-
No 1 = 3x + 8
No 2 = 5x + 8
Ratio after 8 is added:-
=> 2:3
Therefore, equation formed = (3x + 8)/ (5x + 8) = 2/3
=> 3( 3x + 8) = 2(5x + 8) [ Cross Multiplication]
=> 9x + 24 = 10x + 16
=> 24 - 16 = 10x - 9x [ Transposition method]
=> 8 = x
Therefore, No 1 = 3x = 3 × 8 = 24
No 2 = 5x = 5 × 8 = 40
Answer: The largest number is 40.
Happy to Help friend!
Similar questions