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Aloiza [94]
3 years ago
13

6. A number consists of two digits whose

Mathematics
1 answer:
nignag [31]3 years ago
6 0
  • Answer:

<em>(c) 53</em>

  • Step-by-step explanation:

<em>Hi there !</em>

<em>we have a number ab</em>

<em>a + b = 8</em>

<em>ab - 18 = ba</em>

<em>10a + b - 18 = 10b + a</em>

<em>10a - a + b - 10b = 18</em>

<em>9a - 9b = 18 | + (9a + 9b)</em>

<em>9a + 9a - 9b + 9b = 18 + 9(a + b)</em>

<em>18a = 18 + 9×8</em>

<em>18a = 18 + 72</em>

<em>18a = 90</em>

<em>a = 90 : 18</em>

<em>a = 5</em>

<em>a + b = 8</em>

<em>5 + b = 8</em>

<em>b = 8 - 5</em>

<em>b = 3</em>

<em>ab = 53</em>

<em>Good luck !</em>

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:x = -16

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____________________________________

\large \tt Solution  \: :

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