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14. The sum of two numbers is 24. The second number is 6 less
than the first. Find the numbers. Write a system of equations
and solve.

Respuesta :

josshyaby

Answer:

LARGER NUMBER IS 15 AND SMALLER NUMBER IS 9

Step-by-step explanation:

LET THE LARGER NUMBER BE X AND SMALLER BE Y

X + Y = 24 …….1

X = 6 + Y …… 2

WE SOLVE SIMULTANOUSLY  

SUBTRACTNG EQATION 2 FROM 1

X – X  + Y – (-Y) = 24 – 6

Y + Y = 18

2Y = 18

DIVIDING EACH TERM BY 2

2Y/2 = 18/2

Y = 9

THEN PUTTING Y = 3 IN EQUATION  2

X = 9 + 6

X = 15

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