Math, asked by gagnanimahima, 7 months ago

find the 4 consecutive numbers ​

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Answered by Anonymous
2

✪ Question ✪

The sum of four consecutive numbers is 230. Find the 4 consecutive numbers .

✪ Given ✪

Sum = 230

✪ To find ✪

The 4 consecutive numbers.

✪ Solution ✪

Let the numbers are x, (x+1), (x+2) and (x+3).

According to condition,

x + (x+1) + (x+2) + (x+3) = 230

⇒x + x + 1 + x + 2 + x + 3 = 230

⇒4x + 6 = 230

⇒4x = 230 - 6

⇒4x = 224

⇒x = 224/4

⇒x = 56

✪ Hence ✪

  • x = 56
  • (x+1) = (56+1) = 57
  • (x+2) = (56+2) = 58
  • (x+3) = (56+3) = 59

Therefore ✪

The 4 consecutive numbers are 56, 57, 58 and 58.

-------------------------------------------------------------

✪ Verification ✪

x + (x+1) + (x+2) + (x+3) = 230

⇒56 + 57 + 58 + 59 = 230

⇒230 = 230

So, L.H.S = R.H.S.

Hence, verified.

๑ Hope this helps you. ๑

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