Two numbers whose are in the ratio 4:3. Their sum is 70. Find the numbers.
To find the two numbers, we can set up a system of equations based on the given information.
Let's assume the two numbers are 4x and 3x, where x is a common factor. According to the ratio given, the first number is four times x, and the second number is three times x.
We know that the sum of these two numbers is 70:
4x + 3x = 70
Combining the like terms:
7x = 70
To isolate x, we divide both sides of the equation by 7:
x = 70/7
Simplifying further, x = 10.
Now, we substitute the value of x back into the initial assumption to find the two numbers:
The first number is 4x = 4 * 10 = 40.
The second number is 3x = 3 * 10 = 30.
Therefore, the two numbers are 40 and 30.
divide 70 into 7 equal parts, x. Then
4x+3x = 70