anonymous
  • anonymous
The sum of the digits of a two-digit number is seven. When the digits are reversed, the original number is increased by nine. Find the number
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I Really Need help on these 1
anonymous
  • anonymous
This is a system of equations problem. Suppose the number is AB. So A + B = 7 10B +A = 10A + B +9 Can you solve that?
anonymous
  • anonymous
No

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More answers

anonymous
  • anonymous
You haven't studied systems of equations?
anonymous
  • anonymous
not yet
anonymous
  • anonymous
my younger brother is having trouble with this problem and im trying to help him find the answer
anonymous
  • anonymous
OK, so we'll use one of the methods used for these problems, the substitution method.
anonymous
  • anonymous
ok
anonymous
  • anonymous
Take my first equation and rearrange it to A = 7 -B, then substitute it into the second problem.
anonymous
  • anonymous
ok
anonymous
  • anonymous
That gives us 10B +7 -B = 10(7 -B) + B +9
anonymous
  • anonymous
right
anonymous
  • anonymous
Note that we went from two variables to one. Can you solve that equation?
anonymous
  • anonymous
No i Cant
anonymous
  • anonymous
OK, then let's do it...... 10B +7 -B = 10(7 -B) + B +9 9B + 7 = 79 - 9B 18B=72 B = 4 so, (by substitution into the equation A = 7-4 = 3) the number is 34. Check step, reverse the digits, 43 is nine more.
anonymous
  • anonymous
oh i andurstand now thanks alot that really helped
anonymous
  • anonymous
No sweat.

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