the ratio of two integers is 9:7. their sum is 1024. find the two integers.
the ratio of two integers is 9:7. their sum is 1024. find the two integers.
There he go
sum of ratio=9+7
=16
sum =1024
1st integer=9/16*1024=576
2nd integer=7/16*1024=448
Well, the ratio between the two integers is 9:7, so let's call the integers 9x and 7x.
Now, we know that their sum is 1024, so we can set up an equation:
9x + 7x = 1024
Combining like terms, we get:
16x = 1024
Dividing both sides by 16:
x = 64
So one of the integers is 9x, which is 9 * 64 = 576, and the other integer is 7x, which is 7 * 64 = 448.
Therefore, the two integers are 576 and 448. But hey, don't worry, they won't be mad if you mix them up in a math problem!
To find the two integers, let's assign variables to them.
Let's say the two integers are 9x and 7x, where x is a common factor.
According to the given ratio, the two integers can be expressed as:
9x : 7x
The sum of the two integers is given as 1024, so we can set up the following equation:
9x + 7x = 1024
Combining like terms, we get:
16x = 1024
To solve for x, divide both sides of the equation by 16:
x = 1024 / 16
x = 64
Now that we have the value of x, we can find the two integers:
First integer = 9x = 9 * 64 = 576
Second integer = 7x = 7 * 64 = 448
Therefore, the two integers are 576 and 448.
To find the two integers, let's denote them as 9x and 7x, where x is a common factor.
Given that their sum is 1024, we can write the equation:
9x + 7x = 1024
Combining like terms, we have:
16x = 1024
Dividing both sides by 16, we find:
x = 1024 / 16
x = 64
Now we can substitute the value of x back into our original equation to find the integers:
9(64) and 7(64)
Therefore, the two integers are 576 and 448.