The product of the ages of three children is 1872. The age of the middle child is the average of the ages of the other two child
1 answer:
The total age of the three children are = 37years
<h3>Calculation of the total age of children</h3>The product of the ages of three children is = 1872.
Let take child 1 = x
child 2 = x
child. 3 = x
Therefore, the age of three children = x³= 1872
Therefore;
X = 12.32448
The age of the middle child = 12.32448 + 12.32448
= 24.64896/2
= 12.32448
Therefore the sum of their ages = 12.32448 + 12.32448 + 12.32448 = 37years.
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Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
