Answer:
Their product is 42
Step-by-step explanation:
Let the numbers be A and B
Such that:
[tex]A + B = 13[/tex]
[tex]A - B = 1[/tex]
Required
Determine A * B
Add both equations together:
[tex]A + A + B - B = 13 + 1[/tex]
[tex]2A = 14[/tex]
Solve for A
[tex]A = 7[/tex]
Substitute 7 for A in the second equation
[tex]7 - B = 1[/tex]
Make B the subject
[tex]B = 7 - 1[/tex]
[tex]B = 6[/tex]
Hence,
A = 7 and B = 6
So:
[tex]A * B = 7 * 6[/tex]
[tex]A * B = 42[/tex]
The product of the two numbers will be 42.
Let the two numbers be A and B
A + B = 13
A - B = 1
A = 1 + B.
Therefore, since A + B = 13, then (1 + B) + B = 13
1 + 2B = 13
2B = 13 - 1
2B = 12
B = 6
A = 6 + 1 = 7
Since the numbers are 6 and 7, then multiplying them is 42.
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