en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The sum of two numbers is 98. The difference of the same two numbers is 40. What are the numbers?

Solution

T h e s u m o f tw o n u mb ers i s 98. T h e d i ff ere n ce o f t h e s am e tw o n u mb ers i s 40. Wha t a re t h e n u mb ers ?

Solution

The numbers : 69, 29

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 98

x - y = 40

x + y = 98, x - y = 40 : x = 69, y = 29

The numbers : 69, 29

Popular Examples

A person places 133 in an investment account earning an annual rate of 5.8%, compounded continuously. Using the formula V, equals, P, e, start superscript, r, t, end superscriptV=Pe^{rt}, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 9 years A plane can fly 980 miles in the same time as it takes a car to go 420 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.Tyler is 27 years older than Kimi. In 6 years, the sum of their ages will be 83. How old are they now?If 5 is added 3 times a certain number, the result is 38. What is a certain number?To help with his child’s college fund, John needs to invest. Assuming an interest rate of 2.27% compounded monthly, how much would he have to invest to have 83,700 after 14 years?