Question

The sum of three numbers is 98. Of the ratio between

Answer 1

Answer:

The sum of three numbers is 98.The ratio of the first to the second is 2/3,and the ratio of the second to third is 5/8.The second number is :a)15 b)20c)30 d)32e)33

Explanation:

Let the first number be =X1

and the second number be=X2

and the third number be =X3

given that =X1/X2=2/3

given that=X2/X3 =5/8

So,X1+X2+X3 =98.....

consider X1/X2=2/3

So,X1=2/3 X2....

consider X2/X3 = 5/8

write as 8X2 = 5X3

So,X3 =8/5 X2 ....

If we substitute 3,2,1

X1+X2+X3

2/3X2+X2+5/8X2 =98

X2 =(10+1+22 /15 ) =98

X2 = 30

Answer 2

Answer:

Step-by-step explanation:

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.