khanmizuki728
khanmizuki728 khanmizuki728
  • 18-06-2020
  • Mathematics
contestada

The average of two numbers is 7, and three times the difference
between them is 18. Find the numbers. use the simultaneous equation plz guys​

Respuesta :

abhi569
abhi569 abhi569
  • 18-06-2020

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

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