Answer:
Larger number (y) is 39
Smaller number (x) = 66 - 39 = 27.
Step-by-step explanation:
Let the smaller number be<em> x</em> and the larger number be <em>y</em>.
Sum of two numbers = 66
According to question,
<em>x </em>+<em> y</em> = 66
<em>x</em> = 66 - <em>y</em>.........(1)
Now, since twice of smaller number is 15 more than the larger number, According to question,
2(smaller number) = larger number + 15
2<em>x</em> = <em>y</em> + 15 .........(2)
Now substituting the value of y from (1) in (2)
2 (66 - <em>y</em>) = <em>y</em> + 15
132 - 2<em>y</em> =<em> y </em>+ 15
-2<em>y - y</em> = -132 + 15
3<em>y </em>= 117
<em>y</em> = 117/3 = 39
So the largest number (y) is 39
Smaller number (x) = 66 - 39 = 27.
