Answer :
X=2•y+8
|X-y|=25
2Y+8-Y=25
Y=25-8=17
25+17=42
So the numbers are 17 and 42; and the larger number is 42
|X-y|=25
2Y+8-Y=25
Y=25-8=17
25+17=42
So the numbers are 17 and 42; and the larger number is 42
Answer: The larger number is 42
Step-by-step explanation:
Let X be the smaller number and Y be the larger number.
According to the question , we have the following equations :
[tex]2X+8=Y.................(1)\\\\Y-X=25.....(2)[/tex]
Substitute the value of Y from (1) in equation (2), we get
[tex]2X+8-X=25\\\\\Rightarrow\ X=25-8\\\\\Rightarrow\ X=17[/tex]
Substitute X=17 in equation (1) , we get
[tex]Y=2(17)+8=42[/tex]
Hence, the larger number is 42.