# One number is four times another. the larger number is also 87 more than the smaller number. How do you find the numbers?

Mar 29, 2018

29 and 116

#### Explanation:

$x$ -- the number

$4 x$ -- this is 4 times that number

$87 + x$ -- the value of the larger number is $87$ more than the smaller number

$87 + x = 4 x$

Solve for $x$...

$87 = 3 x$

$29 = x$

The other number can be calculated by either adding $87$ or multiplying $29$ by $4$.

With adding $87$... $29 + 87 = 116$

With multiplying $29$ by $4$... $29 \setminus \times 4 = 116$

The two numbers are $29$ and $116$