# A two digit number such that the product of the digit is 12 when 36 is added to that number the digits interchanges their places find the number if u you have a common sense?

2
by shameee

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by shameee

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9x+36=9y

x+4=y

now

xy=12

x(x+4)=12

x=-6 and 2

but x cannot -6 as it is negatie

so

x=2 and

y=6

ans

required number is

so xy = 12

so 10x+y+36 = 10y+x

9y-9x= 36

y-x = 4

y = 4 + x

so

xy = 12

x(4+x)= 12

x² + 4x - 12 = 0

x² +6x - 2x - 12 = 0

x(x+6)-2(x+6) = 0

so x = -6 or 2

so x can't be negative x = 2

so y = 4 + 2 = 6

so the number is 26