Let's say 'x' is the first digit in the number, and 'y' is the second one. You already know that x + y = 7 . Now here comes the fun part:
'x' is in the ten's place, so its value in the number is 10x , and the value of the whole number is (10x + y).
If you flip the digits around, then 'y' is in the ten's place, its value is 10y , and the value of the whole new number becomes (10y + x) .
The problem tells you that when they're flipped around, the value is 9 more.
(10y + x) = (10x + y) + 9 more
10y + x = 10x + y + 9
Just to make it neater and easier to handle, let's subtract 1x and 1y from each side:
9y = 9x + 9
Now. What to do with this. Remember that one up at the top ... x + y = 7 ? That's just what we need now. Call it [ y = 7 - x ], and we can plug that into the one we're struggling with:
9y = 9x + 9
9(7 - x) = 9x + 9
63 - 9x = 9x + 9
Subtract 9 from each side: 54 - 9x = 9x
Add 9x to each side: 54 = 18x
Divide each side by 18: 3 = x
Great. y = 7 - x y = 4
The original number is 34 . 3 + 4 = 7 Flip the digits, and you have 43 . 43 is 9 more than 34 . yay.
That was the elegant but tedious way to do it. Here is the brute-force but easy way to do it:
List of all the 2-digit numbers whose digits add up to 7, and their flips : 16 . . . . . 61 25 . . . . . 52 34 . . . . . 43 43 . . . . . 34 52 . . . . . 25
Do you see a number that becomes 9 greater when you flip it ?
Right there in the middle of the list . . . 34 ==> 43 .
10x+y-the\ number\\\\ \left\{\begin{array}{ccc}x+y=7\\10y+x=10x+y+9\end{array}\right
The two-digit number is 34, where the digits sum to 7 and reversing the digits results in a number that is 9 greater. This is confirmed by the equations x + y = 7 and y − x = 1 . Solving these equations gives x = 3 and y = 4 .
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Jawaban:8). ini jawabannya dan caranya- Triwulan I:[tex]500.000 \times 25\% = 125.000[/tex]- Triwulan II:[tex]500.000 \times \: 35\% = 175.000[/tex]- Triwulan III:[tex]500.000 \times 20\% = 100.000[/tex]- Triwulan IV:[tex]500.000 \times 20\% = 100.000[/tex]9). Produksi per TriwulanRumus:[tex](Penjualan) + (Persediaan \: Akhir) - (Persediaan \: Awal) = Total \: Kodi[/tex]- Triwulan I:[tex]125.000 + 20.000 - 30.000 = 115.000 [/tex]- Triwulan II:[tex]175.000 + 100.000 - 20.000 = 255.000[/tex]- Triwulan III:[tex]100.000 + 100.000 - 100.000 = 100.000[/tex]- Triwulan IV:[tex]100.000 + 20.000 - 100.000 = 20.000[/tex]10). sudah ada digambar yg saya kasih#SEMANGATBELAJAR!#TETAPSEMANGAT!#BELAJARBERSAMABRAINLY