Can someone please help me write this statement out in formula form. There should be two formulas.

Question....
Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

If we let X = larger number
and Y = smaller number, then

X + Y = 21
3X = 4Y

Thank you.

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

For Further Reading

Math - DrBob222, Sunday, October 22, 2006 at 12:29pm
If we let X = larger number
and Y = smaller number, then

X + Y = 21
3X = 4Y

12 and 9

Two numbers are in the ratio of 7:9, the smaller is 42, what is the larger?

54

The sum of two numbers is

63
. The smaller number is
9
less than the larger number. What are the numbers?

I have no clue

To write the given statement in formula form, you can follow these steps:

Step 1: Define Variables
Let X be the larger number and Y be the smaller number.

Step 2: Write Equations
According to the problem statement:
- "Three times the larger of two numbers is equal to four times the smaller." This can be written as 3X = 4Y.
- "The sum of the numbers is 21." This can be written as X + Y = 21.

So the two formulas are:
1) 3X = 4Y
2) X + Y = 21

Using these formulas, you can solve for X and Y.

To find the numbers, you can solve the system of equations:

Step 1: Rewrite equation 2 as X = 21 - Y.
Step 2: Substitute this value of X in equation 1: 3(21 - Y) = 4Y.
Step 3: Simplify and solve the equation to find the value of Y.
Step 4: Substitute the value of Y back into equation 1 to find the value of X.

Using this method, you should be able to find the numbers.