Chapter 2: Q8. (page 106)

If $\frac{3 + x}{7 + x} = \frac{3}{7} + \frac{3}{7}$ , then $x =$ ?
$\begin{array}{l} A . \frac{3}{7} B.3 \\ C . 7D.21 \end{array}$

Short Answer

Expert verified

The value of x is21. Option D is correct.

Step by step solution

Step-1 – Apply the concept of addition of fractions

The two fractions are added when their denominator are same. To add the fractions with same denominator, add the numerator of the fractions. When denominators are not same, take the least common multiple and make it same.

Step-2 –Add the fractions

Consider the provided expression.

$\frac{3 + x}{7 + x} = \frac{3}{7} + \frac{3}{7}$

Add the fractions on right hand side of the expression.

Since, the denominator is same so just add the numerator.

$\begin{matrix} \frac{3 + x}{7 + x} = \frac{3}{7} + \frac{3}{7} \\ \frac{3 + x}{7 + x} = \frac{3 + 3}{7} \\ \frac{3 + x}{7 + x} = \frac{6}{7} \end{matrix}$

Step-3 – Simplify the expression

Cross multiply the terms.

Multiply 6 with $7 + x$ and 7 with $3 + x$ .

$\begin{matrix} 7 (3 + x) = 6 (7 + x) \\ 21 + 7 x = 42 + 6 x \end{matrix}$

Rearrange the terms and simply. Combine the like terms.

$\begin{matrix} 7 (3 + x) = 6 (7 + x) \\ 21 + 7 x = 42 + 6 x \\ 7 x 鈭� 6 x = 42 鈭� 21 \\ x = 21 \end{matrix}$

Hence, the value of x is 21.

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Column A	Column B
$\frac{1}{4}$	$\frac{1}{m} - \frac{1}{4}$

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If $\frac{3 + x}{7 + x} = \frac{3}{7} + \frac{3}{7}$ , then $x =$ ?
$\begin{array}{l} A . \frac{3}{7} B.3 \\ C . 7D.21 \end{array}$

Short Answer

Step by step solution

Step-1 – Apply the concept of addition of fractions

Step-2 –Add the fractions

Step-3 – Simplify the expression

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91影视

If 3+x7+x=37+37, then x=?A.37B.3C.7D.21

Short Answer

Step by step solution

Step-1 – Apply the concept of addition of fractions

Step-2 –Add the fractions

Step-3 – Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

If $\frac{3 + x}{7 + x} = \frac{3}{7} + \frac{3}{7}$ , then $x =$ ?
$\begin{array}{l} A . \frac{3}{7} B.3 \\ C . 7D.21 \end{array}$