A two digit number is such that 6 times the sum of its digit is equal to that number. how many such numbers are possible
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Tens digit = x
One's digit = y
x=1+y (subsitution)
10x+y=6(x+y)
10x+y=6x+6y
Subsitute for x:
10(1+y)+y=6(1+y)+6y
10+10y+y=6+6y+6y
10+11y=6+12y
y=4
x=1+4
x=5
Hence, the number is 54 with 5 as tens digit and 4 as ones digit.
One's digit = y
x=1+y (subsitution)
10x+y=6(x+y)
10x+y=6x+6y
Subsitute for x:
10(1+y)+y=6(1+y)+6y
10+10y+y=6+6y+6y
10+11y=6+12y
y=4
x=1+4
x=5
Hence, the number is 54 with 5 as tens digit and 4 as ones digit.
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