SOLUTION: Two numbers are such that if 21 is added to the first,it becomes twice the second, whereas if 4 is added to the second it becomes twice the first. What are the numbers?

Question 642843: Two numbers are such that if 21 is added to the first,it becomes twice the second, whereas if 4 is added to the second it becomes twice the first. What are the numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two numbers are such that if 21 is added to the first,it becomes twice the second, whereas if 4 is added to the second it becomes twice the first. What are the numbers?
--------
Let the numbers be x and y
Equatiions:
x + 21 = 2y
y+4 = 2x
--------
Rearrange:
x - 2y = -21
2x - y = 4
-----
Modify:
2x - 4y = -42
2x - y = 4
-----------------
Subtract and solve for "y":
3y = 46
------------
y = 46/3
----
Solve for "x":
x - 2y = -21
x -2(46/3) = -21
x - 92/3 = -63/3
---
x = 29/3
===================
Cheers,
Stan H.
================
RELATED QUESTIONS
Find two numbers such that if 18 is added to the first number it becomes twice the second (answered by lwsshak3)

Find two numbers such that, if 18 is added to the first number, it becomes twice the... (answered by ankor@dixie-net.com)

Find two numbers such that if 18 is added to the first number, it becomes twice the... (answered by LinnW)

Find two numbers such that if 18 is added to the first number it becomes twice the second (answered by dkppathak)

1)If 3 is subtracted from the numerator of a certain fraction,the value of the fraction... (answered by ankor@dixie-net.com)

find two numbers if 5 is added to the first we get twice the second number.if 4 is added... (answered by ewatrrr)

Two numbers are such that if 11 is added to the first number, a number twice the second... (answered by josgarithmetic)

The difference of two numbers is -1. If twice the first number is added to three times... (answered by macston)

The difference of two numbers is -1. If twice the first number is added to three times... (answered by Alan3354)