Question

A number is as much greater than 21 as it is less than 71. Find the number.
Hint. (x -21) = (171- x).​

Answer 1

Answer:

let number is X greater than and X less than 71.

now according to question,

21+X=71+X

2X =50

X = 25

So, required number is 21+X=21+25 = 46.

Answer 2

Question: A number is as much greater than 21 as it is less than 71. Find the number.  {Hint. (x - 21) = (71- x)}

Solution:

We have been asked to find a number, let that number be "x".

ATQ, the number, x, is as much greater than 21, as it is less than 71.

In simple words, the difference between the number 71 and x, and the number x and 21 is the same. From this statement we can say that,

⇒ x - 21 = 71 - x

⇒ x + x = 71 + 21

⇒ 2x = 92

⇒ x = 92/2

⇒ x = 46

Hence, the value of x is 46.

From the statement given in the question, x - 21 = 71 - x. Let's substitute the value of 'x' in the given equation and see if the answer above is correct.

⇒ x - 21 = 71 - x

⇒ 46 - 21 = 71 - 46

⇒ 25 = 25

⇒ LHS = RHS

Hence the answer is correct.

Final answer:

x = 46

Hope you understood. ✌