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  • 09-12-2020
  • Mathematics
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the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?

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  • 09-12-2020

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

3x -2y = 97

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

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