Find two consecutive natural numbers whose sum is 63.
Find two consecutive positive odd integers whose sum is 76.
Find three consecutive nositive even integers whose sum is 90.
Answers
Find two consecutive natural numbers whose sum is 63.
Answer: 31 and 32
Find two consecutive positive odd integers whose sum is 76.
Answer: 37 and 39
Find three consecutive nositive even integers whose sum is 90.
Answer: 28 , 30 and 32
ANSWER
I) 31 and 32
ii) 37 and 39
Explanation:
LET THE TWO CONSECUTIVE NUMBERS BE x and (x+1)
x + (x + 1 ) = 63
=> 2x = 63 - 1
=> 2x = 62
x = 62/2
=> x = 31
HENCE, THE NUMBER WILL BE 31 and 32.
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LET THE TWO CONSECUTIVE POSITIVE ODD NUMBERS BE x AND ( x + 2 )
x + (x + 2 ) = 76
=> 2x = 76 - 2
=> 2x = 74
=> x = 74/2
=> x = 37
HENCE, THE NUMBER WILL BE 37 AND 39.
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LET THE THREE CONSECUTIVE POSITIVE EVEN BE x and ( x + 2 )
x + ( x + 2) = 90
2x = 90 - 2
2x = 88
=> x = 88/2
HENCE THE NUMBERS WILL BE 44 AND 46
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