 Algebra Tease. The answer is 25 so show me the work please :)? - XP Math - Forums Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment  XP Math - Forums Algebra Tease. The answer is 25 so show me the work please :)? 07-25-2007 #1 Marc H Guest   Posts: n/a Algebra Tease. The answer is 25 so show me the work please :)? The sum of the digits of a two digit number is 7. When the digits are reversed, the number is increased by 27. Find the number 07-25-2007 #2 sweet n simple Guest   Posts: n/a Let digits at tens place is xand at units place is yso no is 10x+yx+y=7.....1stBy reversing the digits, number becomes 10y+xSo10x+y =10y+x -279y-9x=27y-x = 3....2ndsolving both we get2y=10y=5so x = 2so the no is 25. 07-25-2007 #3 Ailane Guest   Posts: n/a 25522+5 = 752-25=27 07-25-2007 #4 ziggle Guest   Posts: n/a Let a be the first digit and b be the second digit.a+b=710a+b-(10b+a)=27Solving,a+b=79b-9a=2718b =90 =>b=5a=2So, the number is 25. 07-25-2007 #5 Jun Agruda Guest   Posts: n/a Let x = 1st digit; y = 2nd digit.1st equation:x + y = 7x = 7 - y2nd equation 10y + x) - (10x + y) = 2710y + x - 10x - y = 27-9x = 27 - 9yx = -3 + y3rd equation (pair off the value of x in 1st & 2nd equations to arrive at y, the 2nd digit):7 - y = - 3 + y10 = 2y5 = y7 - 5 = x2 = xAnswer:1st digit is x or 2; 2nd digit is y or 5.

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