Of the three numbers, the first number is twice the second number and the second number is twice the third number. The average of all three numbers is 21. The smallest of the three numbers is (2) 6 (1) 9
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Answered by
0
Let x=the third number
Let2x=the second number
Let3(2x)= the first number
[3(2x)+2x+x]/3=21 [Given]
[6x+2x+x]/3=21 [Multiplication]
(9x)/3=21 [Combine like terms]
3x=21 [Division]
x=7 [Divide both sides by 3]
2x=14
3(2x)=42
Check:
[3(2x)+2x+x]/3=21 [Given]
(42+14+7)/3?=21 [Substitution]
63/3?=21 [Addition]
21=21 [Division]
QED
Answer: 42, 14, and 7 are the numbers.
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Answered by
6
Answer:
given,
the area of square is=5184m2
Sxs=5184
s?=5184
s=v5184
s=72
according to problem,
I=2x
b=x
we know that,
perimeter of square=perimeter of
rectangle
4s-2(1+b)
4x72=2(2x+x)
288=6x
x=288/6
x=48
from problem,
I=2x
=2x48
=96
b=x
=48
therefore length is 96
breadth is 48
area of rectangle = |x b
= 96 x 48
=4608 m?
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