Question

The sum of two numbers is 191. One number is 51 more than the other. Find the numbers. The larger number is The smaller number is

Answer 1

Let's call the smaller number "x" and the larger number "y."

According to the information given:

1. The sum of the two numbers is 191, so we can write the equation:

x + y = 191

2. One number (y) is 51 more than the other (x), which can be written as:

y = x + 51

Now, we can use these two equations to solve for x and y.

First, substitute the expression for y from the second equation into the first equation:

x + (x + 51) = 191

Now, combine like terms:

2x + 51 = 191

Subtract 51 from both sides:

2x = 191 - 51
2x = 140

Divide by 2:

x = 140 / 2
x = 70

Now that we've found the value of x, we can find y using the second equation:

y = x + 51
y = 70 + 51
y = 121

So, the smaller number (x) is 70, and the larger number (y) is 121.