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ICSE Class 10 Answered

are two digit number contains smaller of the two digits in the units place. the product of the the digits is 40 and the difference is 3 find the number
Asked by suneelmsc | 02 May, 2020, 02:05: PM
answered-by-expert Expert Answer
Let x and y be the two digits such that x<y.
According to the question,
xy=40 ... (i)
y - x = 3 ... (ii)
y = x+3
Substituting y in (i), we have
x(x+3)=40
x2+3x-40=0
x2+8x-5x-40=0
x(x+8)-5(x+8)=0
(x+8)(x-5)=0
x = -8 or x=5 
x can't be negative
Therefore, x=5 
Therefore, y=5+3=8
Hence, the number is 85.
Answered by Renu Varma | 02 May, 2020, 04:27: PM

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