Sum of the present ages of A, B and C is 120 years. 24 years ago from the present the ratio of ages of A, B and C was 5 : 4 : 3. What is the sum of present ages of A and C?
Show answer & explanation
Correct answer: B
Explanation
Currently, A + B + C = 120
Ratio 24 years ago = 5 : 4 : 3
Let us assume (24 years ago):
A = 5x
B = 4x
C = 3x
Current Ages:
A = 5x + 24
B = 4x + 24
C = 3x + 24
Total Age:
(5x+24)+(4x+24)+(3x+24)=120
12x+72=120
12x=48
x=4
Now, A + C:
A+C=(5x+24)+(3x+24)
=8x+48=8(4)+48=32+48=80
Correct Answer: (B) 80 years