Question

if the sum of four consecutive even natural number is 460,then the number are?? ​

Answer 1

Answer:

suppose 1st even no. is x

then other no. are x+2 x+4 x+6

so, x+x+2+x+4+x+6=460

4x+12=460

4x=460-12

4x=448

x=448/4

x=112

then other no. are x+2=114

x+4=116

x+6=118

Answer 2

Answer:

112, 114, 116, 118

Step-by-step explanation:

Let the 4 consecutive even numbers be 2n, 2n + 2, 2n + 4 and 2n + 6 respectively.

Sum of them = 460.

So,

Sum = 2n + 2n + 2 + 2n + 4 + 2n + 6

460 = 8n + 12

8n = 460 - 12

8n = 448

n = 448/8

n = 56

So, the numbers are:

2n = 2(56) = 112

2n+2 = 112 + 2 = 114

2n+4 = 112 + 4 = 116

2n+6 = 112 + 6 = 118.

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