Popular >

There are two mystery numbers. The sum of 9 times the first number and 8 times the second number is 44. The sum of 2 times the first number and 9 times the second number is 17. What are the two numbers?

Solution

Solution

The numbers : 4, 1

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

9 x + 8 y = 44

2 x + 9 y = 17

9 x + 8 y = 44, 2 x + 9 y = 17 : x = 4, y = 1

The numbers : 4, 1

Popular Examples

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?The difference of two numbers is 16 and the sum of their squares is 130. WHat are the two numbers?Erin opened a savings account and deposited 800.00 as principal. The account earns 7% interest, compounded annually. What is the balance after 8 years?The sum of twice a number and 4 is 14 Find two consecutive whole numbers that sqrt(28) lies between.