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EASY 7TH GRADE MATH NEED DONE TODAY ( DOING THIS AGAIN BC THE LAST GUY DIDNT SHOW NO WORK)

the tens digit of a 2 digit number is 3 more than twice the units digit. if the digits are reversed, the new number is 54 less than the original number

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User Sora
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1 Answer

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hopefully this helps!

Let's think of this number as T|U where T is the tens position digit and U is the units position digit.

Original number has value 10T+U. U=3T (first sentence).

Second sentence deals with U|T, which has value ('new number') 10U+T.

Half the new number is 21 < twice the original means:

½(10U+T) = 2(10T+U) - 21

There you have a system of two equations in two unknowns. You may now solve it.

Check the answers for reasonableness and correctness. (Also check my work producing the last equation)

Note I have used the vertical separation symbol "|" to segregate the two digits of a 2-digit number.

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User Eoghank
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