Question

The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers. 87

Answer 1

Given,

• The sum of three consecutive integers is 5 more than the smallest of the integers.

To Find,

• Three Consecutive Integers = ?

Solution :

$\longrightarrow$ Suppose the three consecutive integers are :-

• The First Consecutive integer be a
• The Second Consecutive integer be a + 1
• The Third Consecutive integer be a + 2

According to the Question :

$\mapsto \sf{a+a+1+a+2 = a + 5}$

$\mapsto \sf{3a + 3 = a + 5}$

$\mapsto \sf{3a - a = 5-3}$

$\mapsto \sf{2a = 2}$

$\mapsto \sf{a = \dfrac{2}{2}}$

$\mapsto \boxed{\red{\sf{a = 1}}}$

Therefore,

• The First Consecutive integer be a = 1
• The Second Consecutive integer be a + 1 = 2
• The Third Consecutive integer be a + 2 = 3

$\rule{200}2$

Answer 2

$\large{\boxed{\bf{\red{Let's\:understand\:the\:concept\:first!}}}}$

In this question we are asked to find the three consecutive numbers whose sum is 5 more than the smallest of the integers.

Therefore, Let's assume that

• The smallest integer or the first consecutive integer be n.
• Then the second consecutive integer will be n + 1.
• The third consecutive integer will be n + 2.

$\huge{\underbrace{\bf{\pink{Let's\:Solve!}}}}$

According to the question,

:$\implies{\sf{n + (n+1) + (n+2) = n+5}}$

:$\implies{\sf{n + n+1 + n+2 = n+5}}$

:$\implies{\sf{3n+3 = n+5}}$

:$\implies{\sf{3n-n = 5-3}}$

:$\implies{\sf{2n = 2}}$

:$\implies{\sf{n = \dfrac{2}{2}}}$

:$\implies{\sf{\underline{\green{n=1}}}}$

Hence, the three consecutive integers are:

• First consecutive integer will be n = 1
• Second consecutive integer will be n+1 = 1+1 = 2
• Third consecutive integer will be n+2 = 1+2= 3

__________________________

$\huge{\underbrace{\bf{\purple{Explore\:More!}}}}$

◾️What is a integer?

An integer is defined as a number that can be written without a fractional component. It can be positive, negative or can be 0.

Example: -1,-2,0,2,3 etc..

◾️What is a consecutive integer?

Numbers which follow each other in order. As the name suggests, It means following continuously or an unbroken sequence.

Example: 1,2,3 or 23,24,25,26 etc ..

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