CBSE Class 10 Answered
Find the number.
Asked by | 29 Aug, 2011, 04:10: AM
Expert Answer
Please post one query at a time.
Solution to the first question is as follows:
Let the two digit number be 10 x + y
ATQ, 10 x + y = 4(x + y) ----(i)
10 x + y = 2 xy ----(ii)
From (i), 10 x + y = 4 x + 4y
=> 6x = 3 y
=> 2x = y ----(iii)
Substituting (iii) in (i) :
10 x + 2x = 2x.2x
=> 12x = 4x2
=> 4x2- 12x = 0
=> 4x ( x - 3) = 0
=> x = 0 or x = 3
x = 0 is not permissible
Hence, x = 3
So, (iii) => y = 2x = 2. 3 = 6
Therefore , the required number is 10 .3 + 6 = 36
Answered by | 29 Aug, 2011, 03:03: PM
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