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

Please help me idk this
all of the following are needed for a civilization to exist except
Find the equation of the ellipsoid passing through the points (±6,0,0),(0,±7,0) and (0,0,±5)
There are about 48,000 farms in Nebraska using approximately 45 million acres of land . This farmland covers about 9/10( nine tents) of the state. About how man
A 0.22-caliber handgun fires a 29-g bullet at a velocity of 770. m/s. calculate the de broglie wavelength of the bullet.
218 rounded to nearest 10
A vw bug is driving north on a straight two lane road at a constant 54 mph and chevy impala south at 47 on the same road (but different lane). What is the veloc
Your best friend is sleeping over four days from today What is the date that your friend is sleeping over
How do I saw "I know more then you." In Japanese
What is the difference between ecosystem services and natural resources?