One number is 10 more than twice another. Their sum is 1 . Find the numbers.

Answer: One number is 10 more than twice another.Their sum is 1.The numbers are -3 and 4 Solution: Given that one number is 10 more than twice the other. Let us consider the two numbers as “x” and “y” First number = x Second number = y From question, consider “y” is 10 more than twice the “x”. This can be represented  y = 10 + 2x – eqn 1 given that the sum of numbers is 1. Hence we get x + y =1 substituting the value of “y” we get x + 10 +2x = 1 3x +10 = 1 3x = -9 x = -3 substitute x = -3 in eqn 1 to get the value of “y” y = 10 +2(-3) y=10 – 6 = 4 hence the two numbers are -3 and 4