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uranmaximum [27]
4 years ago
14

PLEASE HELP AND SHOW YOUR WORK IM CONFUSED!

Mathematics
1 answer:
Paraphin [41]4 years ago
4 0
There is supposed to be a graph with this question so I wouldn’t be able to answer
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The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
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Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

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=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
=> The number is 34.
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