If the three numbers, the ratio of the first and the second is 8:9 and that of the second and third is 3 : 4. If the product of the first and third number is 2400, then what is the second number.
Ratio of first and second number=8:9
Let the constant here bex
Then,First number=8x
Second number=9x
Ratio of second and third number =3:4
Let the constant here be y
Then,second number=3y
Third number=4y
Now according to question ,
The product of first and third number=2400
Therefore,8xtimes4y=2400
=2xtimesy=600 ..1
Also 9x=3y (both equals to second number)
=y=3x
Putting this value of y in eq.1 we get,
2xtimes3x=600
6x2=600
x2=100
x=10
Putting this value of x in y=3x
we get,y=30
Therefore,second number=90