Question 249574
Linear-systems/249574 (2009-12-14 04:33:42): The sum of 2 numbers is 87. If twice the smaller number is subtracted from the larger number, the result is 12. Find the two numbers. How do I solve it step by step?<br>

We need to set up a system of equations using x and y, where y is the smaller number.<br>

x+y=87 given<br>

x-2y=12 given<br>

We can then easily subtract the bottom equation from the top equation in order to find the value of y, which leads to<br>

(x-x)+y-(-2y)=87-12 subtract bottom equation from top equation<br>

3y=75 simplify<br>

y=25 divide both sides by 3<br>

x+y=87 given<br>

x+25=87 substitute 25 in for y<br>

x=62 subtract 25 from both sides<br>

Final Answer: 62 and 25<br>

Answer 181745 by chosenpoint(19) on 2009-12-14 04:44:03<br>