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The larger of two numbers is one more then three times the smaller number . If the sum of numbers is 49, find the numbers. ( show work )

Respuesta :

slbenson

a: larger number

b: smaller number

a+b=49; a=3b+1

3b+1+b=49   (3b+b=4b)

4b+1=49       (49-1=48)

4b=48           (48÷4=4)

b=12

a+12=49         (49-12=37)

a=37

37=3(12)+1     -     True