sabsturua
sabsturua sabsturua
  • 02-02-2020
  • Mathematics
contestada

The difference of two positive numbers is 7 and the sum of their squares is 109. Find the numbers.

Respuesta :

sam4040
sam4040 sam4040
  • 09-02-2020

Answer:

[tex]Numbers\ are\ 58\ and\ 51.[/tex]

Step-by-step explanation:

The the numbers are [tex]x\ and\ y[/tex].

Difference:

[tex]Difference\ of\ numbers=7\\\\x-y=7....................eq(1)[/tex]

Sum:

[tex]Sum\ of\ numbers=109\\\\x+y=109...........................eq(2)[/tex]

Solve [tex]eq(1)[/tex] and [tex]eq(2)[/tex].

[tex]eq(1)+eq(2)\\\\x-y+x+y=7+109\\\\2x=116\\\\x=58\\\\Now\ from\ equation\ 1\\\\x-y=7\\\\y=x-7\\\\y=58-7\\\\y=51[/tex]

Answer Link

Otras preguntas

Help me please And I'll do the same
what is the purpose of a persuasive eassy
Motorcyclists need extra space on
what is the value of the expression 22 62 ÷ 22? 10 13 16 36
earth’s inner core is solid because of _____. a. its great diameter b. immense pressure c. the composition of its rock d. extreme temperatures
38 is 0.02% of what number
Andromeda is an example of a/n _______ galaxy.
A clock radio is rated as 30 w of power output. if the radio also draws 30 w at 120 v, which will the current draw be?
After World War I, how did new theories about science differ from past ideas? A.) New theories emphasized using technology to find answers. B.) New theories rec
Saudi Arabia's foreign policy is best described as