Question

the sum of 3 consecutive natural numbers is 15.find the number
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Answer 1

Answer:

the three consecutive number is 4,5,6

Step-by-step explanation:

let the 3 consecutive numbers be a, a + 1, a + 2

a + (a + 1) + (a + 2) = 15

a + a + 1 + a + 2 = 15

3a + 3 = 15

3a = 15 - 3

3a = 12

a = 12 / 3

a = 4

since a = 4,

a + 1 → 4 + 1 = 5

a + 2 → 4 + 2 = 6

hence the three consecutive number is 4,5,6

Answer 2

Answer:

NOTE -

• Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
• E.G. 1 ,2,3,4....

SOLUTION :-

$\sf \: Let \: \: the \: \: three \: \: consecutive \: \: natural \: \: numbers \: \: are -$

$\sf \: \: x \:, \:( x + 1) \: \:, \: (x + 2)$

$\sf \: According \: \: to \: \: Question -$

$\sf \: Sum \: of \: three \: consecutive \: numbers \: is \: 15$

$\sf \implies \: x \: + (x + 1) \: + (x + 2) = 15$

$\sf \implies \: (x + x +x) + (1 + 2) = 15$

$\sf \implies \: 3x + 3= 15$

$\sf \implies \: 3x = 15 - 3$

$\sf \implies \: 3x = 12$

$\sf \implies \: x = \frac{12}{3}$

$\sf \implies \: x = 4$

Now numbers are -

• First number x = 4
• second number (x+1) = 4+1 = 5
• Third number (x+2) = 4+2 = 6

Hence numbers are. 4 , 5 , 6