Math, asked by raghvendrajputjhinjh, 10 months ago

The sum of two consecutive numbers is 100. Find the numbers.​

Answers

Answered by bhanuprakashreddy23
0

Answer:

No two consecutive integers sum to

100

.

49

and

51

are the two consecutive odd integers whose sum is

100

.

Step-by-step explanation:

Assuming the problem is asking what two consecutive integers sum to

100

, then there is no answer, as for any integer

n

, we have

n

+

(

n

+

1

)

=

2

n

+

1

, which is odd, while

100

is even. Thus

2

n

+

1

100

for any integer

n

.

If the problem is asking for two consecutive odd integers whose sum is

100

, we can find them as follows:

Let

n

be the lesser of the two odd integers, then we have

n

+

(

n

+

2

)

=

100

2

n

+

2

=

100

2

n

=

98

n

=

49

Thus the two consecutive odd integers are

49

and

49

+

2

=

51

. Checking, we find that

49

+

51

=

100

, as desired.

Answered by CᴀɴᴅʏCʀᴜsʜ
1

Answer:

Let the two consecutive no. be x , x+1

A/q

x + x + 1 = 100

=> 2x + 1 = 100

=> 2x = 100 - 1

=> 2x = 99

=> x = 99/2 = 49.5

Now, 1st no. = x = 49.5

2nd no. = 100 - 49.5

= 50.5 Ans...

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