Question

Please answer this question. Tomorrow i have to show it.
The ratio of Andy's age to Joe's age is 2:5 now. 5 years ago, the ratio is 1:3. What are their pesent ages?

Answer 1

Answer:

20 years,50 years

Step-by-step explanation:

Given, ratio of Andy's age to Joe's age is 2:5.

Let the age of Andy = 2x and age of Joe = 5x.

5 years ago:

Age of Andy = 2x - 5.

Age of Joe = 5x - 5.

Given that 5 years ago, the ratio is 1:3.

⇒ (2x - 5)/(5x - 5) = 1/3

⇒ 3(2x - 5) = 5x - 5

⇒ 6x - 15 = 5x - 5

⇒ 6x - 5x = -5 + 15

⇒ x = 10.

Then:

∴ 2x = 20

∴ 5x = 50.

Therefore:

Present age of Andy = 20 years.

Present age of Joe = 50 years.

Hope it helps!

Answer 2

Hey There!!
☺☺

Your Answer :-

$<b>Given that </b>$

The ratio of Andy's age to Joe's Age 5 years ago was 1:3
and
Now the ratio has become 2:5

Solution

5 Years ago let Andy's age be 1x and Joe's age be 3x

so their present ages will be as follows :-

Andy's age = x + 5
Joe's age = 3x + 5

Now

$\frac{x + 5}{3x + 5 } = \frac{2}{5}$
$2(3x + 5) = 5(x + 5)$
$6x + 10 = 5x + 25$
$6x - 5x = 25 - 10 \\ x = 15$
Their Present ages :

x + 5 = 15 + 5
= 20 years (Andy's age)

3x + 5 = 3 × 15 + 5
= 45 + 5
= 50 years (Joe's age)

May it helps you
Be Brainly