The two numbers differ by 3. The sum of
twice the
smaller number and thrice the
greater on is 19 . Find the numbers.
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5
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Answered by
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Step-by-step explanation:
let the two numbers be x and y
according to the question x-y=3------(1)
let the greater number be x
and the smaller number be y
so 3x+2y=19--------(2)
(1)×3=3x-3y=9
(2)×1=3x+2y=19
(-) (-) (-)
------------------------
-5y= -10
=>y= -10/-5
=>y=2
putting the value of y in equation (1) we get
x-y=3
=>x-2=3
=>x=3+2
=>x=5
so the numbers are 5 and 2.
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