SOLUTION: The sum of 2 numbers is 64. When 8 is added to thrice one of the number, the result is seven times the other number. Find the number

Question 984331: The sum of 2 numbers is 64. When 8 is added to thrice one of the number, the result is seven times the other number. Find the number
Found 3 solutions by Cathywill22, Timnewman, MathTherapy:
Answer by Cathywill22(1)   (Show Source): You can put this solution on YOUR website!

Answer by Timnewman(323)   (Show Source): You can put this solution on YOUR website!
Hi dear,
let the first numbers be x
the second number be y
From your first sentence,
x+y=64-----(1)
from your second sentence,
3x+8=7y-----(2)
from equ 1
x=64-y---(3)
put equ 3 in 2
3(64-y)+8=7y
192-3y+8=7y
7y+3y=192+8
10y=100
y=10
put y=10 in equ 3,
x=64-10
x=54
The numbers are 10 and 54.
HOPE THIS HELPS:
Best regards,
Timnewman;

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

The sum of 2 numbers is 64. When 8 is added to thrice one of the number, the result is seven times the other number. Find the number

Numbers:
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