the sum of the three number is 68 if the ratio of first to second is 32 and that of second to third is 5 to 3 ;then the second number is
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The sum of three numbers is 68 if the ratio between the first and second is 2:3 and between the second and third is 5:3. What is the second number?
Data structure is the most important topic for college placement.
X+Y+Z=68…equation 1
GIVEN
X/Y=2/3
Y/Z=5/3
solving
X=2Y/3
Z=3Y/5
Putting value in equation 1 and solving
2Y/3+Y+3Y/5=68
Solving after taking L.C.M(15) we get Y=30
Let three numbers be x,y,z.
According to first condition,
x+y+z=68—(1)
According to second condition,
x : y=2 : 3
i.e. x/y=2/3
3x=2y
x=2y/3
According to second condition,
y : z=5 : 3
i.e. y/z=5/3
3y=5z
z=3y/5
Put values of x and z in (1)
2y/3+y+3y/5=68
(10y+15y+9y)/15=68
34y=68*15
34y=1020
y=30
Therefore,the second number is 30