The value of C based on the information given about the integer is C. 22.
<h3>How to calculate the value?</h3>
From the information given,
b² + bc - 23 = 0
Let the assumed value for a = 1
b² + bc - 23 = 0
1² + (1 × c) - 23 = 0
1 + c - 23 = 0
c = 23 - 1
c = 22.
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Let x and y represent the smaller and larger numbers, respectively.
y - x = 5 . . . . . the difference is 5
3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6
Add x to the first equation to get an expression for y.
y = x + 5
Use that in the second equation.
3(x + 5) = 4x + 6
3x + 15 = 4x + 6 . . . . . eliminate parentheses
9 = x . . . . . . . . . . . . . . add -3x-6
y = x+5 = 14
smaller number: 9
larger number: 14
70 is 25% of 280. 25% is the same as 1/4 and 1/4 of 280 is 70
B. x - 6 or x 6
because x = 6
