a number is20 less than ten times of the average of its fifth, quarter and one fourteenth find 2/9 of the number
Answers
Answer:
The required result is -\frac{254}{63}−
63
254
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}
3
5
1
+
4
1
+
14
1
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(
3
5
1
+
4
1
+
14
1
)−20
Solving the equation,
x=10(\frac{\frac{56+70+20}{280}}{3})-20x=10(
3
280
56+70+20
)−20
x=10(\frac{\frac{146}{280}}{3})-20x=10(
3
280
146
)−20
x=10(\frac{146}{280\times 3})-20x=10(
280×3
146
)−20
x=10(\frac{146}{840})-20x=10(
840
146
)−20
x=\frac{13}{7}-20x=
7
13
−20
x=\frac{13-140}{7}x=
7
13−140
x=\frac{-127}{7}x=
7
−127
Now, \frac{2}{9}
9
2
of the number is
\frac{2}{9}\times \frac{-127}{7}=-\frac{254}{63}
9
2
×
7
−127
=−
63
254
Therefore, the required result is -\frac{254}{63}−
63
254
#Learn more
One fifth of a number is 20 less than the number find the number.