When 36 is added to a certain two-digit number, the results is the number with the digits reversed. The units' digit is one more
than twice the tens' digit. Find the number.
1 answer:
Answer:
37
Step-by-step explanation:
T = two digit number
X = first digit
Y = second digit
T = XY where XY are two numbers placed next to eachother rather than multiplied.
36 + XY = YX
The units' digit is one more than twice the tens' digit.
Y = 1 + 2X
Since Y is a 1 digit number it can't be greater than 9.
9 ≥ 1 + 2X
This means X can't be greater than 4.
9 - 1 ≥ 2X
8 ≥ 2X
8/2 ≥ X
4 ≥ X
If X = 1, Y = 3
36 + 13 = 48
If X = 2, Y = 5
36 + 25 = 58
If X = 3, Y = 7
36 + 37 = 73
If X = 4, Y = 9
36 + 49 = 88
37 is the reverse of 73
Therefore the number is 37
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Answer:
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Step-by-step explanation:
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Answer is 2 /3 I hope it helps.