The sum of three positive numbers is 202. If the ratio of the first number to the second number is 2: 7 and that of the second number to the third number is 5: 8, the difference between the second and third numbers is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 42.
Let the numbers be A, B, C
A : B = 2 : 7 ×(5)
B : C = 5 : 8 ×(7)
⇒ A : B : C = 10 : 35 : 56
⇒ 10x + 35x + 56x = 202
⇒ 101x = 202
⇒ x = 2
Difference between second and third number = 56x - 35x = 21x = 42