the sum of 3 numbers is 98 . the ratio of the first to the second is 2 / 3 , and the ratio of the second to the third is 5 / 8 . the second number is :
Choose the correct choice from the following choices
A) 20 B) 30 C) 60 D) 70 E) 10

Rationale: b 30 let the three numbers be x , y and z . sum of the numbers is 98 . x + y + z = 98 … … … … … … ( i ) the ratio of the first to the second is 2 / 3 . x / y = 2 / 3 . x = 2 / 3 × y . x = 2 y / 3 . the ratio of the second to the third is 5 / 8 . y / z = 5 / 8 . z / y = 8 / 5 . z = 8 / 5 × y . z = 8 y / 5 . put the value of x = 2 y / 3 and z = 8 y / 5 in ( i ) . 2 y / 3 + y + 8 y / 5 = 98 49 y / 15 = 98 . 49 y = 98 × 15 . 49 y = 1470 . y = 1470 / 49 . y = 30 . therefore , the second number is 30 .
Answer: B