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Lubov Fominskaja [6]
2 years ago
14

8) Eugene wrote a riddle: A positive number is 5 less than another positive number. Six times the lesser number minus 3 times th

e greater number is 3. Find the two positive numbers.
Mathematics
1 answer:
Gala2k [10]2 years ago
3 0

Answer: the two numbers are 6 and 11.

Set up the individual equation according to the verbal statements:

<em>A positive number is 5 less than another positive number:</em>

a = b - 5       (this also implies that a<b)

<em>Six times the lesser number minus 3 times the greater number is 3. </em>

6  a -3 b = 3

<em>Find the two positive numbers.</em>

This is a system of linear equations - solve for a and b:

<em>6(b-5)-3b=6b-30-3b=3b-30=3\\3b=33\\b=11\\\rightarrow a=11-5 = 6</em>

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