A two digit number is 7 times the sum of its
digits. If the difference between two algs is
2, find the number.
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Let the unit's digit be x .
There fore , ten's digit will be ( x + 2 ) .
There fore , the number is 10 ( x + 2 ) + x
= 10 x + 20 + x
= 11 x + 20 .
According to the question ,
11 x + 20 = 7 ( x + x + 2 )
=> 11 x + 20 = 14 x + 14
=> 3 x = 6
=> x = 2 .
There fore , units digit = 2 .
So , tens digit = 4 .
So the number is 42.
But it can also be the other way round , that is , units digit be 4 and tens digit be 2 .
In that case, the number will be 24 .
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