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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Let x = the 10's digit Let y = the units : Write an equation for each statement: : "the sum of a two digit number and the number formed by reversing the order digits is 88." (10x + y) + (10y + x) = 88 11x + 11y = 88 Simplify, divide by 11 x + y = 8 : "if difference of the digits is 2 and the units digit is greater."

y - x = 2 we can use elimination with the 1st equation y - x = 2 y + x = 8 --------------Adding eliminates x, find y 2y = 10 y = 5 is the units digit then 5 - 2 = 3 is 10's digit : 35 is the number : : : Check solution in the 1st statement: the sum of a two digit number and the number formed by reversing the order digits is 88. 35 + 83 = 88

Let the digits of the number be x,y then xy +yx = 88 x- y = 2 Take the set 2 of numbers whose difference is 2 They can be 1,3 or 2,4 or 3,5 or 4,6....................... verify the condition for the possible sets let us start with 4,6 46 + 64 =110 which exceeds 88 so next verification would be for 3,5 35 + 53 = 88 SO the set is 3,5 and the number nay be either 35 or 53