Question

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.​

Answer 1

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 2

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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