Q14: Find three consecutive positive even number. whose sum is 460
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Let three consecutive positive even integers be 2x+2,2x+4,2x+6.
According to the question,
⇒ 2x+2+2x+4+2x+6=90
⇒ 6x+12=90
⇒ 6x=78
∴ x=13
⇒ 2x+2=26+2=28
⇒ 2x+4=26+4=30
⇒ 2x+6=26+6=32
∴ The required three consecutive positive even integers are 28,30 and 32.......
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