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Question

Solve
15x=10y=6z
7x+9y+9z=344

A
x=7,y=12,z=20
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B
x=8,y=12,z=20
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C
x=8,y=12,z=10
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D
x=8,y=9,z=20
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Solution

The correct option is B x=8,y=12,z=20
We have,
15x=10y=6z............(1)
7x+9y+9z=344.............(2)

From equation (1) we have,
15x=10y

y=32x............(3)

Also, 15x=6z

z=52x..........(4)

Substituting equation (3) and equation (4) in the equation (2), we get

7x+9(32x)+9(52x)=344

14x+27x+45x2=344

86x2=344

x=8..........(5)

Substituting equation (5) in equation (3), we get

y=32(8)

y=12

Substituting equation (5) in equation (4), we get

z=52(8)

z=20

Thus, we have x=8,y=12,z=20

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