a two-digit number contains the smaller one of the two digits in the unit's place. the product of the digit's is 40 & the difference between the digits is 3. find the number.
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ab is the number
b=3a
ab means 10a+b
10a+b+36=10b+a (the digits interchange their places)
substitute 3a for b
10a+3a+36=10(3a)+a
10a+3a+36=30a+a
13a+36=31a
36=31a-13a
36=18a
a=36/18
a=2
b=3*2=6
the number is 26
check: 26+36=62
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