SOLUTION: Three numbers are such that the second number is 5 more than the first and the thrid number is four more than three times the second. The sum of the three numbers is 134. Find the

Question 969739: Three numbers are such that the second number is 5 more than the first and the thrid number is four more than three times the second. The sum of the three numbers is 134. Find the numbers.
Answer by satyareddy22(84) (Show Source): You can put this solution on YOUR website!
Let x,y,z be three numbers.
x+y+z=134 (given)-------(1)
y-x=5=>x=y-5--------(2)(given)
z-3y=4=>z=4+3y------(3)(given)
now,substituting(2)& (3) in (1)
y-5+y+4+3y=134
5y-1=134=>5y=134+1=135
5y=135=>y=135/5=27
y=27
substituting y=27 in (2) &(3)
x=y-5=27-5=22 =>x=22
z=4+3(27)=85=>z=85
Therefore three numbers are x=22,y=27,z=85

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