Question

The sum of all the whole numbers from 1 to 45 is subtracted from the sum of all the whole numbers from 1 to 50 as shown: (1 + 2 +....+ 50) - (1 + 2 +.....+ 45) What will be the result?
A)5
B)50
C)240
D)285

Answer 1

Answer:

240

Step-by-step explanation:

1+50=51 | 1+45=46

50÷2=25 | 45÷2=22.5

51×25=1275 | 22.5×46=1035

1275-1035

240

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Answer 2

Answer:

Correct answer is option (C) 240

Step-by-step explanation:

Given problem

⇒ The sum of all the whole numbers from 1 to 45 is subtracted from the sum of all the whole numbers from 1 to 50  

⇒ what is the result of (1 + 2 + 3 + ....50) - (1 + 2 + 3 ....+ 45)

⇒ sum of the whole numbers from 1 to 50 = 50 [50+1] / 2

                                                                       = 25(51) = 1275

⇒ sum of the whole numbers from 1 to 45  = 45 [45 + 1] / 2

                                                                       = 45 (46) / 2

                                                                       = 45 (23) = 1035

⇒ (1 + 2 + 3 + ....50) - (1 + 2 + 3 ....+ 45)

⇒  1275 - 1035 = 240

⇒ correct answer is option (C) 240