High School

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------------------------------------------------ The sum of two consecutive numbers is 157.

This equation, where \( n \) is the first number, represents the situation:

\[ 2n + 1 = 157 \]

Answer :

Answer:

the two consecutive numbers are 78 and 79.

Step-by-step explanation:

Let's solve the equation

2

+

1

=

157

where

represents the first of the two consecutive numbers.

Here's how you solve it step-by-step:

Start with the equation:

2

+

1

=

157

Subtract 1 from both sides to isolate the term with

:

2

=

156

Divide both sides by 2 to find

:

=

78

So, the first number is

78

. Since the numbers are consecutive, the second number will be

78

+

1

=

79

.

Therefore, the two consecutive numbers are 78 and 79. If you add them together, you'll see that they sum up to 157:

78

+

79

=

157

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