find the product abcd

The product of numbers is gotten by multiplying the numbers
The product abcd is 0
From the product table, we have:
[tex]7a * 6 = aaa[/tex]
By trial by error, we set a = 4.
So, we have:
[tex]74 * 6 = 444[/tex]
The above equation is true,
So, we have:
[tex]a = 4[/tex]
From the product table, we have the following equations
[tex]c =a + 6[/tex]
[tex]a + 6 = d[/tex]
Substitute 4 for a in [tex]c =a + 6[/tex]
[tex]c =4 + 6[/tex]
[tex]c =10[/tex]
c can only take a single digit.
So, we have:
[tex]c = 0[/tex]
[tex]a + 6 = d[/tex] becomes
[tex]1 + a + 6 = d[/tex]
Substitute 4 for a
[tex]1 + 4 + 6 = d[/tex]
So, we have:
[tex]11 = d[/tex]
Rewrite as:
[tex]d = 11[/tex]
d can only take a single digit.
So, we have:
[tex]d = 1[/tex]
So, the product is:
[tex]74 * b6 = 7104[/tex]
Divide both sides by 74
[tex]b6 = 96[/tex]
By comparison:
[tex]b = 6[/tex]
So, we have:
[tex]a = 4[/tex]
[tex]b = 6[/tex]
[tex]c = 0[/tex]
[tex]d =1[/tex]
The product becomes
[tex]abcd =4 * 6 * 0 * 1[/tex]
[tex]abcd =0[/tex]
Hence, the product abcd is 0
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