The ratio of two numbers A and B is 5 : 4. If both numbers are increased by 6, then the ratio of A and B becomes 6 : 5. What is the sum of final values of A and B?
Show answer & explanation
Correct answer: A
Explanation
A = 5x, B = 4x
(5x+6)/(4x+6)=6/5
5(5x+6)=6(4x+6)
25x+30=24x+36
x=6
A = 30, B = 24
Final value -
A+6 = 36
B+6 = 30
sum = 66