The value of all three numbers will be 7, 8, and 2 Â for the given condition.
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the first number is x, the second is y and the third is z.
The sum of three numbers is 17 ⇒
x + y + x = 17
The sum of twice the first number, 4 times the second number and 5 times the third number is 56 ⇒
2x + 4y + 5z = 56
The difference between 7 times the first number and the second number is 41 ⇒
7x - y = 41 ⇒ y = 7x - 41
By substituting this y into the above equation.
A newly formed equation will be
-40x - 5z = -290
30x + 5z = 220
By solving them x = 7 and z = 2 by that y = 8
Hence all three values will be 7,2 and 8.
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