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9. Linear Equation in One Variable
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Q4 of 87 Page 9

Find a number such that when 5 is subtracted from 5 times that number, the result is 4 more than twice the number.

Let the number is "x"


Then, five times the number will be = 5x 


And, two times the number will be = 2x


then, According to the question:


5x - 5 = 2x + 4


On transposing 2x to LHS and -5 to RHS,


5x - 2x = 5 + 4


3x = 9


x = 9/3


x = 3


 


Therefore the number is 3

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2

The difference between the squares of two consecutive numbers is 31. Find the numbers.

3

Find a number whose double is 45 greater than its half.

5

A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find the number.

6

A number consists of two digits whose sum is 9. If 27 is su btracted from the number the digits are reversed. Find the number.

Questions · 87
9. Linear Equation in One Variable
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