Question

15. Sum of 2 consecutive odd
numbers is 56, find the
numbers.
a. 23,33
b. 27,29
c. 24,32
d. 25,31​

Answer 1

Answer:

a)23,36

Step-by-step explanation:

23+33=56

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Answer 2

GIVEN :-

• Sum of 2 consecutive odd numbers is 56.

TO FIND :-

• The numbers .

SOLUTION :-

Since , the two numbers are consecutive odd numbers , we will take them as (2x+1) and (2x+3).

• 2x represents an even number . And 1 and 3 are added to 2x will represent odd number.

Sum of (2x+1) and (2x+3) is 56.

→ 2x + 1 + 2x + 3 = 56

→ 4x + 4 = 56

→ 4x = 52

→ x = 13

Numbers are :-

• (2x+1) = 2(13)+1 = 27
• (2x+3) = 2(13)+3 = 29

Hence , numbers are 27 and 29.

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VERIFICATION :-

Sum of 27 and 29 should be 56.

27 + 29 = 56

56 = 56ㅤㅤㅤㅤㅤㅤㅤㅤ(verified)