Question

The sum of 7consecutive natural numbers is 70 what are the numbers ? the sum of 8 consecutive natural number is 92 what are the numbers?can the sum of 9 consecutive numbers be 58?

Answer 1

Answer:

(i) the numbers are 7,8,9,10,11,12,13

(ii) the numbers are 8,9,10,11,12,13,14,15

(iii) the sum of 9 consecutive numbers cant be 58

Step-by-step explanation:

7 consecutive natural numbers

(i) let the first number be x, then the rest of the numbers are x+1, x+2, x+3, x+4, x+5, x+6

Adding all 7 numbers we get

7x+(1+2+3+4+5+6); 7x+21 = 70

7x = 70-21 =49

x= 49/7 = 7

the numbers are 7,8,9,10,11,12,13

(ii) In the same way as above

let the first number be x, then the rest of the numbers are x+1, x+2, x+3, x+4, x+5, x+6, x+7,

Adding all 8 numbers we get

8x+(1+2+3+4+5+6+7 ); 7x+28 = 92

8x = 92-28 = 64

x = 64/8 = 8

the numbers are 8,9,10,11,12,13,14,15

(iii) Can the sum of 9 consecutive numbers be 58

In the same way as above

let the first number be x, then the rest of the numbers are x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8

Adding all 8 numbers we get

9x+(1+2+3+4+5+6+7+8 ); 9x+36 = 58

9x = 58-36 = 22

x = 22/9 = not a whole number... so the sum of 9 consecutive numbers cant be 58

Answer 2

Answer:

123456

Step-by-step explanation:

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