Find thres consecutive positive even
integers whose sum is 90.
Answers
Answered by
3
Given :
Three consecutive positive even integers = ' x , ( x + 2 ) , ( x + 4 ) '
☞ x + ( x + 2 ) + ( x + 4 ) = 90
=> 3x + 6 = 90
=> 3x = 90 - 6
=> 3x = 84
=> x = 84 / 3
=> x = 28.
According to the question :
=> x = 28.
=> x + 2 = 28 + 2 = 30.
=> x + 4 = 28 + 4 = 32.
Therefore, the numbers are
28 , 30 and 32.
Answered by
6
Find three consecutive positive even
Find three consecutive positive evenintegers whose sum is 90.
Let three consecutive positive even integers be :-
- 2x+2,
- 2x+4,
- 2x+6.
⇒ 2x+2+2x+4+2x+6=90
⇒ 6x+12=90
⇒ 6x=78
∴ x=13
⇒ 2x+2
⇒ 2×13+ 2
⇒ 26+2
⇒ 28
⇒ 2x+4
⇒ 2×13+4
⇒ 26+4
⇒30
⇒ 2x+6
⇒ 2×13+6
⇒ 26+6
⇒32
∴ The required three consecutive positive even integers are 28,30 and 32.
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