the sum of three consecutive multiples of 3 is 72. find the number
Answers
Answered by
157
let the three numbers = x,x+3, x+6
x+3+x+x+6=72
3x+9=72
3x=63
x=63/3
x= 21
the three numbers =21, 24, 27
x+3+x+x+6=72
3x+9=72
3x=63
x=63/3
x= 21
the three numbers =21, 24, 27
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Answered by
60
ANSWER
========
Let the first number be 3x
{ A multiple of 3 }
Next consecutive number = 3x + 3
Next consecutive number = 3x + 6
GIVEN
----------
Their Sum = 72
SOLUTION
-----------------
=> 3x + 3x + 3 + 3x + 6 = 72
=> 9x + 9 = 72
=> 9x = 72 - 9
=> 9x = 63
=> x = 63/9
=> x = 7
First number = 3 × 7 = 21 ANS
Second consecutive number = 24 ANS
Third consecutive number = 27 ANS
__________________________________
VERIFICATION
----------------------
=> 21 + 24 + 27
=> 72
{ HENCE VERIFIED }
__________________________________
#BE BRAINLY
========
Let the first number be 3x
{ A multiple of 3 }
Next consecutive number = 3x + 3
Next consecutive number = 3x + 6
GIVEN
----------
Their Sum = 72
SOLUTION
-----------------
=> 3x + 3x + 3 + 3x + 6 = 72
=> 9x + 9 = 72
=> 9x = 72 - 9
=> 9x = 63
=> x = 63/9
=> x = 7
First number = 3 × 7 = 21 ANS
Second consecutive number = 24 ANS
Third consecutive number = 27 ANS
__________________________________
VERIFICATION
----------------------
=> 21 + 24 + 27
=> 72
{ HENCE VERIFIED }
__________________________________
#BE BRAINLY
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