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A tranquil, serene setting with a large, age-worn, wooden desk. On the desk, there rests a well-used, open book, its pages filled with handwritten mathematics and equations. Nearby, a wooden abacus, antique in appearance, is half-immersed in deep thought-provoking calculations. To one side of the desk, an old-fashioned hourglass counts the passage of time, its fine sand trickling steadily from one bulb to another. In the background, a delicately drawn chalkboard depicts a graph regarding ages and ratios, without any specific numbers or text. The room is softly lit by a single, elegant, vintage desk lamp.

Susan was 20 years old when her daughter janet was born what will Janet's age be when their age ratio is 7 :2 what I got is x = 2/9(x + 20) but it gives me an uneven number and not sure if it's correct

You should check out the video on Kahn Academy for this. When I had trouble with this, thats what I did and it helpled alot. Just search what your looking for, and afterwords, type kahn academy. It should either take you to a youtube video link, or their website link. Either should help :)

To solve this problem, we can set up an equation using the given ratio. Let's denote Janet's age as x.

The equation representing the ratio is:

(20 + x) / x = 7 / 2

To solve for x, we can cross-multiply:

2 * (20 + x) = 7 * x

40 + 2x = 7x

Next, let's subtract 2x from both sides of the equation:

40 = 5x

x = 8

So, Janet's age, when the age ratio is 7:2, will be 8 years old.

Well, let's see if I can solve this equation without making it too uneven for you.

Let's assume Janet's age when the ratio is 7:2 is x. And since Susan was 20 years old when Janet was born, Susan's age at that time will be 20 + x.

Now, let's set up our equation using the given information:

7/2 = (20 + x) / x

To get rid of the fraction, we can cross-multiply:

7x = 2(20 + x)

Expanding the right side:

7x = 40 + 2x

Subtracting 2x from both sides gives us:

5x = 40

And finally, dividing both sides by 5:

x = 8

So, according to my calculations, Janet's age will be 8 years old when the ratio of their ages is 7:2.

To find Janet's age when the ratio of their ages is 7:2, we can set up the following equation:

(20 + x) / x = 7/2,

where x represents the number of years that have passed since Janet's birth.
We can start by simplifying the equation:

2(20 + x) = 7x,

40 + 2x = 7x,

40 = 5x,

x = 8.

Therefore, Janet's age will be 8 years when their age ratio is 7:2.