Question

The sum of two cpnsecutive even numer is 112 find the number

Answer 1

Let
first number
Second is.

n+n+2=112

2n=110

n=55

n+2=55+2=57

55+57=112

Answer 2

Given

• The sum of two cpnsecutive even numer is 112.

To Find

• the consecutive numbers

Solution

let the numbers be n and n+2

let's frame an equation now:

$: ⟹ n + n + 2 = 112 \\ \\ : ⟹ 2n + 2 = 112 \: \: \: \: \: \\ \\ : ⟹ 2n = 112 - 2 \: \: \: \: \\ \\ : ⟹ 2n = 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : ⟹ n = \cancel \frac{100}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\mathbb{\boxed{\purple{ : ⟹ n = 50}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\maltese\sf\pink{\:let's\:verify:}$

$2(50) + 2= 112 \\ 100 + 2 = 112 \: \: \: \: \\ 112 = 112 \: \: \: \: \: \: \: \: \: \: \: \:$

LHS=RHS

hence verified

so the numbers are:

⇒$\mathbb{\boxed{\purple{50}}}$

⇒$\mathbb{\boxed{\purple{52}}}$

hope this helps.!!