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Sagot :
The reqiured two digit number is 54
Let, a two-digit number be n
the digit at tens place as x and the digit at unit place be y
The tens digit of a two-digit number exceeds the units digit by 1.
x = y + 1 .............(1)
if the number is divided by the sum of its digits, the quotient is 6.
(10x + y)/(x + y) = 6
Substitute above value of x in this equation.
(10(y + 1) + y) = 6(y + 1 + y)
10y + 10 + y = 6(2y + 1)
11y + 10 = 12y + 6
y = 4
Substitute above value of y in equation (1),
x = 4 + 1
x = 5
So, the number would be, 10x + y = 50 + 4
= 54
Therefore, the number is 54
Learn more about the equation here:
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