Question

the sum of 2 consecutive whole numbers is 53 the greatest number is​

Answer 1

Answer:

So 2x + 1 = 53, 2x = 52, and x = 26. X+1 = 27.

So, 26 and 27.

(And you should have said “The sum of two consecutive whole NUMBERS.)

Answer 2

Question:-

• the sum of 2 consecutive whole numbers is 53 the greatest number is

Answer:-

• 27

Solution:-

Assumption:-

Let n = the smaller whole number, and

Let n + 1 = the larger of the two consecutive whole numbers.

Since the sum of the two consecutive numbers is 53, we can write the following equation to solve for n:

$\sf \: n + (n + 1) = 53$

$\sf \: n + n + 1 = 53$

$\sf \: 2n + 1 = 53$

$\sf2n + 1 - 1 = 53 - 1$

$\sf2n + 0 = 52$

$\sf \: 2n = 52$

$\sf\frac{2n}{2} = \frac{52}{2}$

$\sf( \frac{2}{2} )n = \frac{52}{2}$

$\sf(1)n = 26$

$\sf \: n = 26$

Therefore,

$\sf \: n + 1 = 26 + 1 = 27$

$\large\rm \orange {Verification:-}$

n + (n + 1) = 53

26 + (26 + 1) = 53

26 + (27) = 53

26 + 27 = 53

53 = 53