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If 1518=x6=10y=z30\frac{15}{18} = \frac{x}{6} = \frac{10}{y} = \frac{z}{30}, then what is the value of x+y+z ?

A25

B37

C42

D40

Answer:

C. 42

Read Explanation:

If 1518=x6=10y=z30\frac{15}{18} = \frac{x}{6} = \frac{10}{y} = \frac{z}{30}

1518=x6\frac{15}{18}=\frac{x}{6}

    x=15×618=5\implies{x=\frac{15\times6}{18}=5}

1518=10y    y=18×1015=12\frac{15}{18}=\frac{10}{y}\implies{y=\frac{18\times10}{15}=12}

1518=z30    z=15×3018=25\frac{15}{18}=\frac{z}{30}\implies{z=\frac{15\times30}{18}=25}

x+y+z=5+12+25=42x+y+z=5+12+25=42


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