Question

A number is 20 less than ten times the average of its fifth,quarter and ine fourteenth.Find 2/9 of the number

Answer 1

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The required result is -\frac{254}{63}−63254

Step-by-step explanation:

Let the number be 'x'.

The average of its fifth, quarter and one-fourteenth is given by,

\frac{\frac{1}{5}+\frac{1}{4}+\frac{1}{14}}{3}351+41+141

A number is 20 less than 10 times of the average of its fifth, quarter and one-fourteenth is given by,

x=10(\frac{\frac{1}{5}+\frac{1}{4}+\frac{1}{14}}{3})-20x=10(351+41+141)−20

Solving the equation,

x=10(\frac{\frac{56+70+20}{280}}{3})-20x=10(328056+70+20)−20

x=10(\frac{\frac{146}{280}}{3})-20x=10(3280146)−20

x=10(\frac{146}{280\times 3})-20x=10(280×3146)−20

x=10(\frac{146}{840})-20x=10(840146)−20

x=\frac{13}{7}-20x=713−20

x=\frac{13-140}{7}x=713−140

x=\frac{-127}{7}x=7−127

Now, \frac{2}{9}92 of the number is

\frac{2}{9}\times \frac{-127}{7}=-\frac{254}{63}92×7−127=−63254

Therefore, the required result is -\frac{254}{63}−63254

#Learn more

One fifth of a number is 20 less than the number find the number.

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