College

There are two numbers that are twice as far from 130 as they are from 172. What are these numbers?

Answer :

Final answer:

To solve the problem, let's call the two numbers x and y. The distance between x and 130 is twice the distance between x and 172. By solving the equation, the two numbers are 152 and 192.

Explanation:

To solve this problem, let's call the two numbers x and y.

According to the given information, the distance between x and 130 is twice the distance between x and 172. This can be represented as:

|x - 130| = 2|x - 172|

To solve for x, we can break down the equation into two cases:

1. If x is greater than 172:

x - 130 = 2(x - 172)

Simplifying the equation, we get:

x = 192

2. If x is less than 172:

130 - x = 2(x - 172)

Simplifying the equation, we get:

x = 152

Therefore, the two numbers that are twice as far from 130 as they are from 172 are 152 and 192.