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CBSE Class 10 Answered

Please solve this question 
question image
Asked by vikasg13.hardware | 30 Jun, 2018, 11:57: AM
answered-by-expert Expert Answer
Let the numbers be x, y and z where z is the largest number.
According to the question,
xy + z is the correct number.
Wrong number is z(x + y).
Equating numbers,
xy + z = z(x + y)
xy + z = zx + zy
xy + z = zx + zy + xy - xy
xy + xy + z = zx + zy + xy
2xy + z = zx + zy + xy..........(I)
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
begin mathsize 16px style straight x plus straight y plus straight z equals square root of straight x squared plus straight y squared plus straight z squared plus 2 left parenthesis xy plus yz plus zx right parenthesis end root straight x plus straight y plus straight z equals square root of straight x squared plus straight y squared plus straight z squared plus 2 left parenthesis 2 xy plus straight z right parenthesis end root straight x plus straight y plus straight z equals square root of straight x squared plus straight y squared plus straight z squared plus 4 xy plus 2 straight z end root end style


Answered by Sneha shidid | 11 Jul, 2018, 05:13: PM

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