Question

The difference between two numbers is 24. If $x$ and $y$ are the numbers with $x>y,$ and bigger number is 3 times the smaller one. find the smaller one.

• A. 36
• B. 12
• C. 24
• D. 16

Answer 1

The correct option is B 12

Consider the numbers $x$ and $y$ with $x>y.$
The difference of $x$ and $y$ is given by the expression $x-y.$
$x-y=24.$
according to question,
x = 3y,
put the value of x in first the equation
$3y-y=24$
$2y=24$
$y=12$
therefore, x = 3y
x = 3x12
x = 36
so, the smaller number y = 12