The numbers required are 1 and -5
a + b = - 4
a - b = 6_______add
2a = 2
a = 1
It's simultaneous equation.
(i) a + b = -4
(ii) a - b = 6
Add (i) and (ii) which will illiminate b
(iii) 2a = 2
(iv) a = 1
Substitute (iv) into either (i) or (ii)
(v) 1 + b = -4
(vi) b = -5____________________or(i) a + b = -4(ii) a - b = 6or(iii) a = b + 6Substitute (iii) into (i)(iv) b + 6 + b = -4(v) 2b = -10(vi) b = -5Substitute (vi) into (i)(vii) a -5 = -4(viii) a = 1
a + b = −4
a − b = 6
a = 1 and b = -5
a = (-4 + 6)/2 = 1
b = (-4 - 6)/2 = -5
A + B = -4
A - B = 6
Just combine the two equations, giving you :
A + A + B - B = 6 - 4
2A = 2
A = 1
and B = -5 .. because 1 + -5 = -4 and 1 - -5 = 6
The average is -4/2 = -2.
The difference is 6, so the differences from the average must be half that, or ±3.
Therefore the numbers are
-2-3 = -5
-2+3 = +1
But the way they want you to do it is to solve the two equations:
a + b = -4
a - b = 6
Add those to get
Then use either equation to find b, e.g.,
1 + b = -4
b = -5
a+b = -4
a-b = 6
We sum the two equations up, and we get
a + a + b - b = - 4 + 6
Now, to find b, just replace in one of the equations:
Let's make sure:
a + b = -4 (let's replace)
1 - 5 = -4 (correct)
1 - (-5) = 6
1 + 5 = 6 (correct).
DONE!
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Answers & Comments
The numbers required are 1 and -5
a + b = - 4
a - b = 6_______add
2a = 2
a = 1
It's simultaneous equation.
(i) a + b = -4
(ii) a - b = 6
Add (i) and (ii) which will illiminate b
(iii) 2a = 2
(iv) a = 1
Substitute (iv) into either (i) or (ii)
(v) 1 + b = -4
(vi) b = -5____________________or(i) a + b = -4(ii) a - b = 6or(iii) a = b + 6Substitute (iii) into (i)(iv) b + 6 + b = -4(v) 2b = -10(vi) b = -5Substitute (vi) into (i)(vii) a -5 = -4(viii) a = 1
a + b = −4
a − b = 6
a = 1 and b = -5
a = (-4 + 6)/2 = 1
b = (-4 - 6)/2 = -5
A + B = -4
A - B = 6
Just combine the two equations, giving you :
A + A + B - B = 6 - 4
2A = 2
A = 1
and B = -5 .. because 1 + -5 = -4 and 1 - -5 = 6
The average is -4/2 = -2.
The difference is 6, so the differences from the average must be half that, or ±3.
Therefore the numbers are
-2-3 = -5
-2+3 = +1
But the way they want you to do it is to solve the two equations:
a + b = -4
a - b = 6
Add those to get
2a = 2
a = 1
Then use either equation to find b, e.g.,
1 + b = -4
b = -5
a+b = -4
a-b = 6
We sum the two equations up, and we get
a + a + b - b = - 4 + 6
2a = 2
a = 1
Now, to find b, just replace in one of the equations:
1 + b = -4
b = -5
Let's make sure:
a + b = -4 (let's replace)
1 - 5 = -4 (correct)
a - b = 6
1 - (-5) = 6
1 + 5 = 6 (correct).
DONE!