the sum of the digit of a 2-digit number is 8 on reversing the digit the number is 18 less than the original number find the number
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Step-by-step explanation:
X+Y=8
10y+x=10x+y-18
y=8-x
10(8-x)+x=10x+(8-x)-18
80-10x+x=10x(8-x)-18
80-9x=9x-10
90=18x
x=5
y=8-5
y=3
10y+x
10(3)+5
30+5
35
so the original number is 35.
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