What is the answer four times the sum of the digits of a two-digit numbr is equal to the numberif the digits are reversed th resulting number is 27 greater than the original number what is the number?

Answer 1

Name the digits 'T' and 'U', for 'tens digit' and 'units digit'. First statement: 4 (T + U) = 10T + U 4T + 4U = 10T + U ===> 3U = 6T ===> U = 2T Second statement: 10U + T = 10T + U + 27 9U = 9T + 27 ===> U = T + 3============================= U = 2T and U = T + 3 ===> 2T = T + 3 ===> T = 3 U = 2T = 6 The number could be 36. ================================ Check: First statement: 4 (T + U) = 10T + U 4 (3 + 6) ?=? 10(3) + 6 4(9) ?=? 30 + 6 36 = 36 Yay ! Second statement: 10U + T = 10T + U + 27 10(6) + 3 ?=? 10(3) + 6 + 27 60 + 3 ?=? 30 + 6 + 27 63 = 63 Double yay ! The number is definitely 36.