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Standard X

Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

Question 93 S...

Question

Question 93

Solve the following:

If $\frac{1}{2}$ is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?

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Solution

Let the number be x.
According to the equation,
$4 (x - \frac{1}{2}) = 5 \Rightarrow 4 x - 2 = 5 \Rightarrow 4 x = 5 + 2 \Rightarrow 4 x = 7 ∴ x = \frac{7}{4}$
Hence, the required number is $\frac{7}{4} .$

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Question 93

Solve the following:

If $\frac{1}{2}$ is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?

Q. If

\frac{1}{2}

is subtracted from a number, and the difference is multiplied by 4, the result obtained is 5. Find the number.

Question 98

Solve the following:

If numerator is 2 less than denominator of a rational number and when 1 is substracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$ . What is the rational number?

Question 65

Express the given statement as an equation.

If 1 is subtracted from a number and the difference is multiplied by $\frac{1}{2},$ the result is 7.

Q. Question 1
If you subtract

\frac{1}{2}

from a number and multiply the result by

\frac{1}{2}

, you get

\frac{1}{8}

. what is the number?

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Elimination Method of Finding Solution of a Pair of Linear Equations

Standard X Mathematics

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Question 93 Solve the following: If 12 is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?

Let the number be x. According to the equation, 4(x−12)=5⇒4x−2=5⇒4x=5+2⇒4x=7∴x=74 Hence, the required number is 74.

Question 93

Solve the following:

If $\frac{1}{2}$ is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?

Let the number be x.
According to the equation,
$4 (x - \frac{1}{2}) = 5 \Rightarrow 4 x - 2 = 5 \Rightarrow 4 x = 5 + 2 \Rightarrow 4 x = 7 ∴ x = \frac{7}{4}$
Hence, the required number is $\frac{7}{4} .$