Math, asked by christophercibi05, 1 month ago

the sum of 2 consecutive numbers of 16 is 208. Find the numbers.​

Answers

Answered by SpandanPatip
0

don't know the question is wrong

Answered by TwilightShine
5

Answer :-

  • The numbers are 96 and 112.

To find :-

  • The numbers.

Step-by-step explanation :-

  • Here, it is given that the sum of two consecutive numbers of 16 is 208. We have to find these numbers.

Let :-

  • The two consecutive numbers of 16 be 16x and 16 (x + 1)

According to the question,

  • Their sum is 208.

Therefore,

 \dashrightarrow \sf{16x + 16 \: (x + 1) = 208}

 \dashrightarrow\sf{16x + 16x + 16 = 208}

 \dashrightarrow \sf{16x + 16x = 208 - 16}

 \dashrightarrow \sf{16x + 16x = 192}

 \dashrightarrow\sf{32x = 192}

 \dashrightarrow \sf{x = \cancel{\dfrac{192}{32}}}

 \dashrightarrow \sf{x = 6}

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Hence, the numbers are :-

 \bf 16x = 16 \times 6 = 96

 \bf 16 \: (x + 1) = 16 \: (6 + 1) = 16 \times 7 = 112.

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