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document.write( "Let us call the 6 digits D1 to D6.\r
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document.write( "Given data.
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document.write( "1) D1 + D2 = 7
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document.write( "2) D3 = D1
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document.write( "3) D4 = D2 + 2
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document.write( "4) D4 + D5 = 8
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document.write( "5) D6 = square of D4
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document.write( "6) Sum of D1+D2+D3+D4+D5+D6 = 26\r
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document.write( "From #5, D6 is a single-digit square number. So it can only be 0,1,4 or 9. Correspondingly, D4 is 0, 1, 2 or 3.\r
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document.write( "From #3, D4 = D2 + 2. So D4 cannot be 0 or 1. D4 is either 2 or 3\r
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document.write( "Let's check both the cases\r
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document.write( "If D4 = 2,
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document.write( "D2 = 0 (from #3) and
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document.write( "D1 = 7 - 0 = 7 (from #1),
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document.write( "D3 = 7 (from #2),
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document.write( "D5 = 6 (from #4) and
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document.write( "D6 = 4 (from #5)
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document.write( "Num is 707264. Sum of digits = 26 which matches.\r
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document.write( "To confirm, let's try the other possibility also.\r
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document.write( "If D4 = 3,
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document.write( "D2 = 1(from #3) and
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document.write( "D1 = 7 - 1 = 6 (from #1),
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document.write( "D3 = 6 (from #2),
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document.write( "D5 = 5(from #4) and
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document.write( "D6 = 9 (from #5)\r
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document.write( "Num is 616359. Sum of digits = 30 which does not match.\r
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document.write( "Hence the answer is 707264. Solved.\r
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