What is the formula and the answer of; Two numbers are in the ratio of 4:7 if the difference between the two number is 48 find the sum of two numbers.
4x = 7y
x-y = 48
x - 4x/7 = 48
3x = 7*48
x = 7*16 = 112
So, y = 4*16 = 56
check: 112-56 = 48
oops: y=64
or
let the two numbers be 4x and 7x
7x - 4x = 48
3x=48
x = 16
so the two numbers are 4(16) or 64
and 7(16) or 112
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To find the sum of two numbers that are in a given ratio and have a given difference, you can follow these steps:
Step 1: Write the ratio of the two numbers.
The ratio of the two numbers is given as 4:7. We can assign variables to the numbers to make it easier to solve. Let's call the numbers 4x and 7x.
Step 2: Write an equation using the given difference.
The difference between the two numbers is given as 48. Using this information, we can set up an equation: 7x - 4x = 48.
Step 3: Solve the equation to find the value of x.
Simplifying the equation gives us 3x = 48. Dividing both sides by 3 yields x = 16.
Step 4: Find the values of the two numbers.
Now that we know the value of x, we can substitute it back into the assigned variables. The first number is 4x, so 4 * 16 = 64. The second number is 7x, so 7 * 16 = 112.
Step 5: Calculate the sum of the two numbers.
The sum of the two numbers is obtained by adding them together: 64 + 112 = 176.
Therefore, the sum of the two numbers is 176.