Question

8. The sum of two consecutive whole numbers
is 301. Find the two numbers.​

Answer 1

Step-by-step explanation:

let the first number be x

then another number will be X + 1

then,

according to a question when we add both X and X + 1 then the sum will be

x + x + 1 = 301

2x = 301 - 1

2x = 300

x = 140

1st no - 150

2nd no - 151

Answer 2

Given: sum of the squares of two consecutive natural numbers is 313

To find the numbers

Sol: Let 1 number be x. Since the numbers are consecutive, the other number would be x+1.

Square both and add together to equal 313.

x

2

+(x+1)

2

=313

x

2

+x

2

+2x+1=313

2x

2

+2x−312=0

x

2

+x−156=0

(x−12)(x+13)=0

x=12,x=−13

given numbers are natural . so x=12 and x+1=13 are the two numbers.