The sum of two numbers is 46 and the difference between the larger number and twice the smaller number is 10. Find the two numbers. Enter the smaller number first.

Solution

Solution

The numbers : 34, 12

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 46

x - 2 y = 10

x + y = 46, x - 2 y = 10 : x = 34, y = 12

The numbers : 34, 12

Popular Examples

Levi invested 160 in an account paying an interest rate of 3% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?Chase invested 39,000 in an account paying an interest rate of 3.2% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach 66,100?Find three consecutive odd integers such that three times the product of the first and last integers, decreased by 150, is equal to the square of the second integer.The sum of the ages of Bob and Cathy is 84 years. In 3 years, Bob will be twice as old as Cathy. How old is Cathy now?Hailey invested 1,700 in an account paying an interest rate of 2.2% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 2,590?