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Tanzania [10]
2 years ago
11

Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!

Mathematics
1 answer:
frosja888 [35]2 years ago
3 0

Answer:

The two numbers are 24 and 32

Step-by-step explanation:

We can use the variable x

3x : 4x, would be a ratio of 3/4

now subtract 4 from both

3x - 4 : 4x - 4 = 5/7

3x-4 / 4x-4 = 5/7

cross multiplication

7(3x - 4) = 5(4x - 4)

21x - 28 = 20x - 20

x = 8

Two numbers are;

3x, 4x

3(8), 4(8)

24, 32

24/32 = 3/4

20/28 = 5/7

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What is a solution to (x + 6)(x + 2) = 60?
Reika [66]

Solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: (x+6)(x+2)=60

Solving:

(x+6)(x+2)=60

Multiplying terms on the left hand side

x(x+2)+6(x+2)=60

x^2+2x+6x+12=60

x^2+8x+12=60

x^2+8x+12-60=0

x^2+8x-48=0

Now factorizing:

x^2+12x-4x-48=0

x(x+12)-4(x+12)=0

(x-4)(x+12)=0

(x-4)=0\,\,and\,\,(x+12)=0

x=4\,\,and\,\,x=-12

So, solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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