URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
1 answer:
the question in English
Draw a rectangle having the base congruent to the nine sevenths of the height.
Let
b-------> the base of rectangle
h-------> the height of rectangle
we know that
b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height
examples
1) for h=7 units
b=(9/7)*7-------->b=9 units
the dimensions are 9 units x 7 units------> see the attached figure
2) for h=5 units
b=(9/7)*5-------->b=(45/7) units
the dimensions are (45/7) units x 5 units
The answer in Italian
Facciamo
b-------> base del rettangolo
h-------> altezza del rettangolo
Noi sappiamo che
b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza
esempi
1) per h=7 units
b=(9/7)*7-------->b=9 units
le dimensioni sono 9 units x 7 units----->
vedere la figura allegata
2) per h=5 units
b=(9/7)*5-------->b=(45/7) units
le dimensioni sono (45/7) units x 5 units
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For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.