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Number Theory Level 2

Find out (A + B + C + D) such that AB × CB = DDD, where AB and CB are two-digit numbers and DDD is a three-digit number.


The answer is 21.

Divyansh Tripathi by divyansh tripathi , 21, India

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1 solution

Ahmed Abdelbasit
Jun 12, 2014

Just By Using Programming with VB 2013 :D .....

Private Sub Button1_Click 

    For a = 1 To 9
        For b = 1 To 9
            For c = 1 To 9
                For d = 1 To 9
                    If ((10*a+b)*(10*c+b) = d+10*d+100*d) Then
                        Button1.Text = a + b + c + d
                        Label1.Text = (a+10*b+100*c+1000*d)
                    End If
                Next
            Next
        Next
    Next
End Sub

the results are : 2739 2739 ... so , a = 2. b = 7 , c = 3 , d = 9 a=2 . b=7 , c=3 , d=9

so , a + b + c + d = 2 + 3 + 7 + 9 = 21 a+b+c+d = 2+3+7+9=21

0 Helpful 0 Interesting 0 Brilliant 0 Confused

answer is 3 digits which are same answer 2739 is 4 different digits ?

Sunil Pradhan - 6 years, 11 months ago

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