SOLUTION: three times the smaller of 2 numbers increased by 5 times the larger is 229. four times the smaller decreased by 25 equals 3 times the larger. find the numbers.
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Question 235993: three times the smaller of 2 numbers increased by 5 times the larger is 229. four times the smaller decreased by 25 equals 3 times the larger. find the numbers.
Also to solve it, we either need to use substitution or elimination method. Answer by solver91311(24713) (Show Source):
Let represent the smaller number. Let represent the larger.
Three times the smaller () increased by () 5 times the larger () is (=) 229.
Call that Equation 1, then
Put the second equation into standard form, that is
And call that equation 2. Multiply equation 1 by 3 and equation 2 by 5:
Notice that the multiplication factors were chosen so that the coefficients on the terms are additive inverses. Add the like terms in the two equations, eliminating the term:
