Question

Three Consecutive integers add up to 51. What are integers
are these integers? ​

Answer 1

$\huge{\underline{\pink{\tt{Solution :}}}}$

$\longrightarrow$ Suppose the Three Consecutive Integers be :

• First Consecutive Integers be a
• Second Consecutive Integers be a + 1
• Third Consecutive Integers  a + 2

$\bigstar \underline{\underline{\orange{\mathfrak{According\:to\:the\:Question:}}}}$

• The Sum of three Consecutive Integers is 51 .

$\implies \sf{a + a + 1 + a + 2}$

$\implies \sf{3a + 3 = 51}$

$\implies \sf{3a = 51 - 3}$

$\implies \sf{3a = 48}$

$\implies \sf{a = \dfrac{48}{3}}$

$\implies \boxed{\sf{a = 16}}$

Therefore,

$\mapsto \boxed{\red{\tt{First\:Consecutive\:Number = a = 16}}}$

$\mapsto \boxed{\red{\tt{Second\:Consecutive\:Integer\:Number = a + 1 = a + 16 = 17}}}$

$\mapsto \boxed{\red{\tt{Third\:Consecutive\:Integer\:Number = a + 2 = 16 + 2 = 19}}}$