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zmey [24]
4 years ago
14

Devaughn is 13 years older than Sydney. The sum of their ages is 77 . What is Sydney's age?

Mathematics
1 answer:
Tanya [424]4 years ago
6 0
77-13=64....64÷2=32 the age should be 32
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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

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

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

Thus, x = 3 and y = 4;
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