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Lady_Fox [76]
3 years ago
15

the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

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

<u>3x -2y = 97</u>

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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<u>Given</u>:

Given that ABCD is a rectangle.

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The value of x can be determined by equating AE and EC

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AE=EC

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Thus, the length of AC can be determined by adding the lengths of AE and EC.

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Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.

Hence, we have;

AC=DB

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