I'm a two digit number. The sum and product of my digits are the same. Who am I?
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Let the two digits be a and b
ab = a + b (sum=product given)
ab - a = b (RHS in LHS)
a(b - 1) = b (a common)
a = b/(b - 1)
If a is to be an integer, then b must be divisible by b - 1, and the only number that fits this condition is 2. We can then deduce that a must also be 2. So the number is and can only be the number 22.
Check:
2+2=2*2=4
Mark as brainiest answer if it really helps.....
ab = a + b (sum=product given)
ab - a = b (RHS in LHS)
a(b - 1) = b (a common)
a = b/(b - 1)
If a is to be an integer, then b must be divisible by b - 1, and the only number that fits this condition is 2. We can then deduce that a must also be 2. So the number is and can only be the number 22.
Check:
2+2=2*2=4
Mark as brainiest answer if it really helps.....
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