Question

X:y=2:3 and x+y=10.Find value of x and y​

Answer 1

We know that x is 2

Whilst y is 3

this can be changed due to it’s ratio

So in this code x+y=10

2+3=10

We can do it this way.

2+3=5 (add the ratios)

10/5=2 (Divide the sum by the number needed)

2*2=4 (multiply the quotient for each ratio)

3*2=6 (multiply the quotient for each ratio)

x is 4

y is 6

Answer 2

See below:

Explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!!

We can solve this problem in two steps, Comprehension and Solving

I'll start off with comprehension.

Comprehension

We know that ratios are basically fractions as they both show comparison, so we can make x:y into
`(x)/(y)`.

We also have another equation, making this problem a system of equations.

Now that we know what to do, we can begin solving!

Solving

We can solve this by first getting our two equations.

`(x)/(y)=(2)/(3)`

We can simplify the 2nd equation so that we know what one variable is.

`x+y=10\\x=10-y`

We can now input our second equation into the first equation.

`(10-y)/(y)=(2)/(3)\\3(10-y)=2y\\30-3y=2y\\30=5y\\y=6`

If y is six, then we can use the second equation to solve for x.

`x+6=10\\x=4`

We know that x is 4 and y is 6.

We can now check our answers.

1st Equation

`(4)/(6)=(2)/(3)?\\`

`(2)/(3)=(2)/(3)`

2nd Equation

`4+6=10?\\10=10`

We've proven our answers to be right, therefore, x is 4 and y is 6.