6. A number consists of two digits whose
1 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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