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A number consists of two digits whose sum is 8. If 18 is added to thenumber, its digits are interchanged. The number is |
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Answer» Answer: mark me brainliest please Step-by-step explanation: Let us assume that one of the digit of the TWO digit number is X, then problem the other number will be (8 - X) From problem we get that, if we add 27 to the number the digits get interchanged and also since the number is a two digit number then X will in tens place (7 - X) will be in ONES place. So the equation we get 10X + (8 - X) + 18 = 10(8 - X) + X 10X + 8 - X + 18 = 80 -10X + X 9X + 26 = 80 - 9X 9X + 9X = 80 - 26 18X = 54 X = 54/18 X = 3, So the digit in tens place = 3 the digit in ones place is (8 - 3 = 5) , then the number is 35 and when 18 is added the RESULT is 53, the digits interchange their position in the new number. Ans: 35. Hope this helps !! |
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