The compensation strategy is used in mathematics when taking the sum of two or more values in other to make computation easier.
The above example is a simple way of using the compensation strategy.
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An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign
x + y = 110
y - (1/2)x = 20
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign.
Example:
2x + 4y = 6 is an equation.
2x + 4 is an equation.
We have,
Totalnumber of marbles = 110
Number of children = 2
Number of marblesonechildren has initially = x
Number of marblesotherchildren has initially = y
Now,
x + y = 110 _____(1)
After one child had losthalf her marbles and the otherlost 20 they had an equalnumber.
This means,
x - (1/2)x = y - 20
(1/2)x = y - 20
y - (1/2)x = 20 _____(2)
From (1) and (2) we get,
x = 110 - y _____(3)
Putting (3) in (2)
y - (1/2)x = 20
y - (1/2)(110 - y) = 20
y - 55 + (1/2)y = 20
(3/2)y = 20 + 55
(3/2)y = 75
y = (75 x 2) / 3
y = 25 x 2
y = 50
Now,
Putting y = 50 in (3) we get,
x = 110 - y
x = 110 - 50
x = 60
Thus,
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
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Answer:
x² + (x + 2)² + (x + 4)² = 12,296
x² + x² + 4x + 4 + x² + 8x + 16 = 12,296
3x² + 12x + 20 = 12,296
3x² + 12x = 12,276
x² + 4x = 4,092
x² + 4x + 4 = 4,096
(x + 2)² = 4,096
x + 2 = 64
x = 62
The numbers are 62, 64, and 66.
(62 × 64 × 66) ÷ 8 = 32,736