Question

29. The ratio of ages of Ginny and Danny is 3:4. After 20 years, the ratio of their ages will become 7: 8. What is the sum of their ages now?
(A) 35 years
(B) 30 years
(C) 21 years
(D) 28 years​

Answer 1

Answer:

c option is the answer of this question

Answer 2

Answer:

The correct answer is (A) 35 years

Step-by-step explanation:

Let's assume the current ages of Ginny and Danny to be x and y, respectively. According to the problem, now the ratio of their ages is 3:4. So, we can write:

x : y = 3 : 4

x/y = 3/4

x = 3y/4  --(i)

After 20 years, their ages will be (x + 20) and (y + 20), respectively. According to the problem, the ratio of their ages after 20 years will be 7:8. So, we can write:

(x + 20) : (y + 20) = 7 : 8

(x + 20)/(y + 20) = 7/8

8(x + 20) = 7(y + 20)

8x + 160 = 7y + 140

8*(3y/4) + 160 = 7y + 140 (putting value of x from eq (i))

6y + 160 = 7y + 140

y = 160 - 140

y = 20

Solving equation (i), we get:

x = 3*20/4 = 15

So, Ginny's current age is x = 15, and Danny's current age is y = 20. Therefore, the sum of their current ages is:

15 + 20 = 35

Therefore, the sum of their ages now is 35.

To learn more about Proportions, visit:

brainly.in/question/54168904

To learn more about Algebraic geometry, visit:

brainly.in/question/54104482

#SPJ6