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.
Also to solve it
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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): You can put this solution on YOUR website!
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:
Solve for
Substitute back into either original equation:
\ +\ 5y\ =\ 229)
Check:
\ -\ 25\ =^?\ 3(29))
You do the check arithmetic.
John
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