The difference of two numbers is 30. their quotient is 6. what are the two numbers

1 answer:

8 0

Well, the quotient must be bigger/smaller

lets say the numbers are x and y
x>y

so
x-y=30 and x/y=6
multiply both sides by y in 2nd equation
x=6y
subsitute 6y for x in other equation

6y-y=30
5y=30
divide by 5
y=6

sub back
x=6y
x=6(6)
x=36

the numbers are 36 and 6

but they could also be -36 and -6 because -36/-6=6 and -6-(-36)=30

the 2 numbers are 36 and 6 or -36 and -6

You might be interested in

In the following diagram CDFG ~ HJLK. use this information to find the value x.

Nataly [62]

Answer:

x=2.25

Step-by-step explanation:

4x=3 x 3

8 0

4 years ago

Read 2 more answers

Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$