given:
sum of three number= 98
to find:
the second number.
solution:
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= 2y/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= 8y/5
Put the value of x = 2y/3 and z = 8y/5 in (i).
2y/3 + y + 8y/5= 98
49y/15= 98
49y= 98 × 15
49y= 1470
y= 1470/49
y= 30
Therefore, the second number is 30.
answer= option c.