Question

The sum of two consecutive even numbers numbers is 86 .the larger of the two is

Answer 1

Answer:

★ Numbers are 42 & 44 ★

Step-by-step explanation:

Given:

• Sum of two consecutive numbers is 86

To Find:

• what are the two numbers?

Solution: Let the two consecutive even numbers be x and x + 2

A/q

$\small\implies{\sf }$ x + x + 2 = 86

$\small\implies{\sf }$ 2x + 2 = 86

$\small\implies{\sf }$ 2x = 86 – 2

$\small\implies{\sf }$ 2x = 84

$\small\implies{\sf }$ x = 84/2

$\small\implies{\sf }$ x = 42

Hence, The two consecutive even numbers are x = 42 and x+ 2 = 42 + 2 = 44

____________

★ Check ★

→ 42 + 44 = 86

→ 86 = 86 LHS = RHS

Answer 2

Answer:

★ Larger Number = 44 ★

Step-by-step explanation:

Given:

• Sum of two consecutive even numbers is 86.

To Find:

• What are the numbers and which one is larger among two?

Solution: Let the two consecutive even numbers be x and x + 2.

• Numbers which follow each other without gap from smallest to largest are called consecutive numbers

A/q

$\small\implies{\sf }$ x + x + 2 = 86

$\small\implies{\sf }$ 2x + 2 = 86

$\small\implies{\sf }$ 2x = 86 – 2

$\small\implies{\sf }$ 2x = 84

$\small\implies{\sf }$ x = 84/2

$\small\implies{\sf }$ x = 42

Hence, The first number is x = 42 and second number is x + 2 = 42 + 2 = 44

→ Larger number is 44 > 42