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The sum of three numbers is 136.5 If we multiply the first number by 8, the second by 4 and the third by 6, then we will have 3 equal numbers. What are the numbers?

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Let no.s be x,y,z.

According to first probelm,

x+y+z=136.5...............................(1)eq.

According to second problem,

8x+4y+6z=a+a+a.........................(2)eq.

From eq. (2)

8x=a...........(3)eq.

4y=a............(4)eq.

6z=a............(5)eq.

From eq.(3),(4)and(5)

8x=4y=6z

y=2x and z=4x/3

put the value of y and z in eq. (1)eq.

x+2x+4x/3=136.5

.

.

.

x=31.5

y=63

z=42

According to first probelm,

x+y+z=136.5...............................(1)eq.

According to second problem,

8x+4y+6z=a+a+a.........................(2)eq.

From eq. (2)

8x=a...........(3)eq.

4y=a............(4)eq.

6z=a............(5)eq.

From eq.(3),(4)and(5)

8x=4y=6z

y=2x and z=4x/3

put the value of y and z in eq. (1)eq.

x+2x+4x/3=136.5

.

.

.

x=31.5

y=63

z=42

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