Question

If the sum of two numbers is equal to 92. If we subtract thrice the first number from the three fourth of the second number is 120. Calculate the first number(x) and the second number (y).

Answer 1

To find the first and second numbers, we translate the problem into two equations, solve one of them for one variable, and then substitute into the other to find the solution.

Step-by-step explanation:

To solve the given problem, we need to set up two equations using the information provided:

1. The sum of two numbers is equal to 92, which gives us the equation x + y = 92.
2. The second condition tells us that if we subtract thrice the first number from the three-fourths of the second number, we get 120. This gives us the equation (3/4)y - 3x = 120.

We can solve these two equations simultaneously to find the values of x and y.

Step-by-Step Solution:

1. Express y from the first equation: y = 92 - x.
2. Substitute y in the second equation: (3/4)(92 - x) - 3x = 120.
3. Expand and simplify the equation to solve for x.
4. Once you find x, substitute it back into the equation y = 92 - x to find y.

By following these steps, we can determine the first number (x) and the second number (y).