three times the sum of a number and 4 is the same as 18 more than the number what is the number?
Answers
Step-by-step explanation:
Let the number be x
Three times the number and 4 is
3×x+4=3x+4
18 more than the number is
18+x
As the two are same, we have
3x+4=18+x
or
3x−x+4−4=18+x−x−4
or
2x=14
or
2x×12=14×12
i.e.
x=7
Hence number is 7
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SOLUTION
GIVEN
Three times the sum of a number and 4 is the same as 18 more than the number
TO DETERMINE
The number
EVALUATION
Let the required number = N
The sum of N and 4 = N + 4
So by the given condition
3( N + 4 ) = N + 18
⇒ 3N + 12 = N + 18
⇒ 3N - N = 18 - 12
⇒ 2N = 6
⇒ N = 3
FINAL ANSWER
Hence the required number = 3
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