The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the third number is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 48
Calculations:
Let the three numbers be x, y and z
According to the question,
x : y = 2 : 3 ---- (1)
y : z = 5 : 8 ---- (2)
Multiplying equation (1) by 5 and (2) by 3, we get
x : y : z = 10 : 15 : 24
The value of z = 98 × (24/49) = 48
Hence, the third number is 48.