Question

The ratio of the husband’s age to that of the wife’s age five years ago was 6:7. If the present age of the husband is 35 years, then what will be the ratio of their ages 5 years hence?

a. 7:8
b. 8:9
c. 9:10
d. 10:11​

Answer 1

Answer:

b) 8:9

Step-by-step explanation:

Husband's present age is 35 years

Therefore, his age 5 years ago was 30 years

Let the ratio of ages 5 years ago be 6x and 7x of husband and wife respectively

Then, 6x = 30 years ( As found above)

x = 5 years

Therefore, wife's age five years ago = 7×5 = 35 years

Current ages = 35 years for husband and 40 years for wife

Therefore, ages after five years = Husband 40 and wife 45.

Ratio = 8:9

Answer 2

Answer:

(B)The ratio of ages after 5 years is 8:9

Step-by-step explanation:

Given that,

Ratio of ages of husband to wife 5 years ago is 6:7

The present age of husband=35years

Let the present age of wife be x years

Therefore,before 5 years we have

Age of husband

$= 35 - 5 = 30 \: yrs$

Age of wife

$= (x - 5)yrs$

According to given data we have

$\frac{30}{x - 5} = \frac{6}{7} \\ = > x = 40yr$

Therefore,the present age of wife us 40 years

Hence her age after 5 years is

$= 40 + 5 = 45yrs$

Age of husband after 5 years is

$35 + 5 = 40yrs$

Therefore,ratio of their ages after 5 years is

$\frac{40}{45} = \frac{8}{9}$

Hence,the ratio is 8:9

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