en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The difference of two positive numbers is 1 and the sum of their squares is 61. Find the numbers

Solution

T h e d i ff ere n ce o f tw o p os i t i v e n u mb ers i s 1 an d t h e s u m o f t h e i r s q u a res i s 61. F in d t h e n u mb ers

Solution

The numbers : 6, 5

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 1

x^{2} + y^{2} = 61

Solve the system of equations:

x - y = 1, x^{2} + y^{2} = 61 : (x = 6, x = - 5, y = 5 y = - 6)

Select positive solutions:

5, 6

The numbers : 6, 5

Popular Examples

Find the final value if 9000 is invested for 4 years at 12% p.a.If a fair coin is tossed 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 1 heads?5 years ago, Baldwin won some money in the lottery and put it in a bank account that earns 7% interest compounded annually. If Baldwin currently has 300.00 in the bank account, how much interest has he earned?Katlyn and Sarah are best friends. Sarah is 36 years less than double Katlyn's age. In 6 years, Sarah's age will be 12 years more than half of Katlyn's age. How old is each girl?(2^6)/(6!)e^{-2} real number