Question

Linear Equations- A number is as much greater than 36 as is less than 86. Find the number. ​

Answer 1

Answer:

Given :-

• A number is as much greater than 36 as is less than 86.

To Find :-

• What are the number.

Solution :-

Let, the number be x

According to the question,

↦ $\sf x - 36 =\: 86 - x$

↦ $\sf x + x =\: 86 + 36$

↦ $\sf 2x =\: 122$

↦ $\sf x =\: \dfrac{\cancel{122}}{\cancel{2}}$

➠ $\sf\boxed{\bold{\red{x =\: 61}}}$

$\therefore$ The required number is 61.

$\sf\bold{\purple{VERIFICATION :-}}$

⇒ $\sf x - 36 =\: 86 - x$

⇒ $\sf 2x =\: 86 + 36$

By putting x = 61 we get,

⇒ $\sf 2 \times 61 =\: 122$

⇒ $\sf 122 =\: 122$

➦ LHS = RHS

Hence, Verified .

Answer 2

Solution -

In the above question, it is mentioned -

" A number is as much greater than 36 as It is less than 86 " .

Let us assume that this number is x .

" A number is as much greater than 36 " means we need to find x - 36.

" .. as it is less than 86 " means we need to find 86 - x .

They are equal .

Hence, we can form the following linear equation -

x - 36 = 86 - x

Transposing x to the LHS

>2x - 36 = 86

> 2x = 86 + 36

> 2x = 122

> x = 61

Thus , the required number is 61.

This is the required answer .

____________________________________

Additional Information -

For solving these types of linear equation , always try to solve part by part . Try to form an equation from the statements and then equate them , for the variable (s) .

____________________________________