(2) The sum of two natural numbers is 20 while their difference is 4. Find
the numbers.
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Say the first number is x, while the second one is y.
x + y = 20; x - y = 4.
This is an example of a set of system of equations. And you can easily solve it by incorporating a tactic called linear combination.
Simply add the two equations together to find:
2x = 24 → x = 12.
Since you have one value, easily find y by plugging the value of x back into any one of the two equations.
12 + y = 20 → y = 8. Thus the two numbers are 12 and 8.
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therefore the answer the natural numbers are 12 and 8 respectively
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