So let’s make the smaller number x and the larger one y....
Set up your equation by following the words signaling mathematical operations from the question.
y = 8 + 4x
y + 4x = 40
Now let’s bring all variables to one side and solve the system if equations with elimination...
y - 4x = 8
y + 4x = 40
Add the equations:
2y = 48
y = 24
Plug the y-value into one of the original equations:
24 = 8 + 4x
16 = 4x
4x = 16
x = 4
And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.
Answer:
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150° should be the answer. If a third of 90° is 30°, then 90°(3/3)+30°(1/3)+30°(1/3)= 150° (5/3)
If ( x - 1 ) * ( x + 3 ) = 0 => x = 1 or x = -3;
But, (x-1)(x+3)=1 => x^2 + 3x -x - 3 = 1 => x^2 + 2x - 4 = 0;the discriminant is 2^2 - 4 * 1 * ( -4 ) = 20 => the solutions are x1 =
( - 2 +

) / 2 ; x2 = - 2 -

) / 2;