The sum of the digits of two -digit number is 16. The number obtained by
inter changing the digits is less by 18 than the original number. Find that two
digit number
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Answer:
let the no be = 10x + y
10x +y = 16
10y + x = 10x + y - 18
10y - y +x-10x +18= 0
9y - 9x + 18 =0
y - x + 2 =0
y = x-2
put in equation 1
10x + y =16
10x + x- 2 =16
9x = 16+2
9x = 18
x = 18/9
x = 2
y =0
the two digits number is 20
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