Question

Solve the equation. then check your solution. startfraction x over 90 endfraction = startfraction 7 over 9 endfraction a. 35 c. 140 b. 70 d. 116

Answer 1

We get that the value of x is option (b) 70.

We are given an equation:

x / 90 = 7 /9.

An equation is an expression that has an equality sign in between.

For example: 2 x + 4 y = 6 or 4 x + 8 y = 9

We have to solve the equation to find the value of x.

First, cross multiplying the numbers, we get that:

x × 9 = 7 × 90.

Now simplifying the expression, we get that:

9 x = 630

Solving the expression to get the value of x:

x = 630 / 9

x = 70.

Therefore, we get that the value of x is option (b) 70.

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Answer 2

According to given -

$\frac{x}{90} = \frac{7}{9}$

Therefore,

By cross multiplication we get,

$9x = 7 \times 90$

Now to find the value of x, we divide both sides by 9

$\frac{9x}{9} = \frac{7 \times 90}{9}$

By cancelling the factors,

$x = 7 \times 10$

$x = 70$

Therefore,

The correct option is b) 70

What are factors?

We know that,

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

A prime number has only two factors, i.e., 1 and the number itself. But the composite numbers have more than two factors.

Some of the important properties of factors of a number are listed below:

• 1 is a factor of every number
• Every natural number is a factor of itself
• Apart from 0 and 1, all the whole numbers have at least two factors
• Every factor is less than or equal to the given number
• The number of factors of a given number is finite
• Factors can be evaluated using both multiplication and division method

How to find factors?

There are two possible methods to find factors of any number, such as:

• Multiplication
• Division

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