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Liula [17]
3 years ago
14

It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0
-----------------------------------------------
Define x :
-----------------------------------------------
Let the smallest number be x.
The other two numbers will be x+1 and x+2.

-----------------------------------------------
Construct equation :
-----------------------------------------------
The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78

-----------------------------------------------
Solve x :
-----------------------------------------------
x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25

-----------------------------------------------
Answer: Smallest number = 25
-----------------------------------------------
saul85 [17]3 years ago
8 0
Lets call them
a, b, c
we know that
a+b+c=78
and we know they are consecutive which makes this problem a lot more easier
the number just after another number is that number plus one. example:
the number just after 3 is
3+1...which is 4
lets write our consecutive numbers in a way that we can use this principle:
a, a+1, a+2

a+a+1+a+2=78
3a+3=78
3a=75
a=25
the smallest number is 25
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