Question

5. Instead of adding 27 to a number, Pooja subtracted it from the number and got a
wrong answer. If her answer was exactly one-third of the correct answer, what was the
number?
I
celte first
in Thai​

Answer 1

Answer:

81

Step-by-step explanation:

x+27=y

x=y-27

x-27=y/3

y-27-27=y/3

y-54=y/3

3y-162=y

3y-y=162

2y=162

y=81

Answer 2

Answer:

Let the number be y and the correct answer be x

If 27 is added to the number, we get the correct answer.

y + 27 = x........ (1)

When 27 is subtracted from the number, we get 1/3 of the correct answer.

y - 27 = 1/3 x

3(y - 27) = x

3y - 81 = x......... (2)

(1) and (2) are equal to x so we equate them

y + 27 = 3y - 81

27 + 81 = 3y - y

108 = 2y

y = 108/2 = 54

The number = y = 54

x = y + 27 = 54 + 27 = 81

The correct answer is 81

The wrong answer is 1/3 of 81 = 27

WMK