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Maths Puzzle
find no. the 3 digit numbers between 100 and 500 such that sum of two digits is equal to third digit.
Read Solution (Total 2)
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- 68
If the 3 digit number is of the form 100x+10y+z, with digits x,y,z
there can be 3 possible combinations for the sum of two digits
1) x+y=z, (1,0,1)(1,1,2)(1,2,3)(1,3,4)(1,4,5).....(4,5,9), Total=30
2) y+z=x, (1,1,0)(3,1,2)(4,1,3)(2,2,0)(3,2,1)...(4,4,0), Total=12 &
3) x+z=y, (1,2,1)(1,3,2)(1,4,3)(1,5,4)(1,6,5)....(4,9,5), Total=26
So total 3 digit numbers from 100 to 500 =30+12+26= 68 - 11 years agoHelpfull: Yes(0) No(1)
- 112,123,134,145,156,167,178,213,224,235,246,257,268,279,
- 11 years agoHelpfull: Yes(0) No(1)
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