Question
Find three consecutive even numbers whose sum is 312.
Hint:
let the three consecutive even numbers be 2n , 2n + 2 ,2n + 4
Given, the sum of these three consecutive even numbers is 312.
(i. e 2n + 2n + 2 + 2n + 4 = 312)
The correct answer is: 102 , 104 and 106
Ans :- 102 , 104 and 106
Explanation :-
let the three consecutive even numbers be 2n , 2n+2 ,2n+4
Given, the sum of these three consecutive even numbers is 312.
so,2n +2n+2+2n+4 = 312
6n+6 = 312
6n = 306
3(2n) = 306
∴ 2n = 102
Then 2n+2 =102 +2 = 104 ; 2n+4 = 102 + 4 = 106
102 , 104 and 106 are the three consecutive even numbers that satisfy the given condition
Related Questions to study
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram
