SOLUTION: number 6 is written at end of a two digit number.value of number is increased by 600.find two digit number.

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Question 706407: number 6 is written at end of a two digit number.value of number is increased by 600.find two digit number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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number 6 is written at end of a two digit number.value of number is increased by 600.
find two digit number.
:
(100x + 10y + 6) - (10x + y) = 600
100x - 10x + 10y - y + 6 = 600
90x + 9y = 600 - 6
90x + 9y = 594
Simplify, divide by 9
10x + y = 66
y = -10x + 66
we assume both x and y are positive single digit integers
only x=6 which makes y=6 satisfies this requirement
:
66 is the two digit number
:
666 - 66 = 600