Three numbers are such that the first number is 10 less than twice the second and the second number is 4 more than three times the third. Twice the second number is equal to the sum of the first and third numbers. Find the numbers

Answer 1

let the third number be x

Now, just translate ....

" the second number is 4 more than three times the third"
second number = 3x+4

"the first number is 10 less than twice the second"
first number = 2(3x+4) - 10
= 6x - 2

" Twice the second number is equal to the sum of the first and third numbers"

2(3x+4) = x + 6x-2
6x + 8 = 7x - 2
-x = -10
x = 10

first number = 6x - 2 = 58
second number = 3x+4 = 34
third number = 10