Question

i) A number is as much greater than 46 as is less than 96. Find the number

Answer 1

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$\tt \: let \: the \: number \: be \: x \: \\ \tt \: x - 46 = 96 - x \\ \tt \: x + x = 96 + 46 \\ \tt \: 2x = 142 \\ \tt \: x = \frac{142}{2} \\ \tt \: x = 71$

Answer 2

Given:

The number is greater than = 46

Te number is lesser than = 96

To find:

The number

Solution:

Let the number be = x

According to the question -  

x - 46 = 96 - x ( As greater than 46, and lesser than 96)

Solving the equation -

x + x = 96 + 46

2x = 96 + 46

2x = 142

x = 142/7

= 71

Answer: The number is 71.