Respuesta :
Answer:
The larger number is 51 and the smaller number is 12
Step-by-step explanation:
Let
x -----> the larger number
y ----> the smaller number
we know that
the larger of two numbers is 15 more than three times the smaller number
[tex]x=3y+15[/tex] -----> equation A
the sum of the two numbers is 63
[tex]x+y=63[/tex] ----> equation B
substitute equation A in equation B and solve for y
[tex]3y+15+y=63[/tex]
[tex]4y+15=63[/tex]
[tex]4y=63-15[/tex]
[tex]4y=48[/tex]
[tex]y=12[/tex]
Find the value of x
[tex]x=3y+15[/tex] ----> [tex]x=3(12)+15=51[/tex]
therefore
The larger number is 51 and the smaller number is 12