Answer
427.8k+ views
Hint: Ratio of their ages at present time are given as well as ratio of their ages after four years also given, we have to form equations, after that solving equations we will get the answer.
Complete step-by-step answer:
Let their present age be $$4x$$ & $$3x$$ .
Then, after $$4$$ years the husband's age $$ = 4x + 4\;$$ and the wife's age $$ = 3x + 4$$ .
So, by the given condition,
$$\eqalign{
& \dfrac{{4x + 4}}{{3x + 4}} = \dfrac{9}{7} \cr
& \Rightarrow 28x + 28 = 27x + 36 \cr
& \Rightarrow x = 8 \cr} $$
Then the present age of the husband $$ = 4 \times 8years = 32$$ years &
the wife's age $$ = 3 \times 8$$ years $$ = 24$$ years.
Let their marriage took place P years back.
Then, by the given condition,
$$\eqalign{
& \dfrac{{32 - p}}{{24 - p}} = \dfrac{5}{3} \cr
& \Rightarrow 96 - 3p = 120 - 5p \cr
& \Rightarrow 2p = 24 \cr
& \Rightarrow p = 12 \cr} $$
Hence, they were married before 12 years i.e. option A
Note: Here ratios were given, all we did is form equations on the basis of conditions were given in question. A ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this fraction.
Complete step-by-step answer:
Let their present age be $$4x$$ & $$3x$$ .
Then, after $$4$$ years the husband's age $$ = 4x + 4\;$$ and the wife's age $$ = 3x + 4$$ .
So, by the given condition,
$$\eqalign{
& \dfrac{{4x + 4}}{{3x + 4}} = \dfrac{9}{7} \cr
& \Rightarrow 28x + 28 = 27x + 36 \cr
& \Rightarrow x = 8 \cr} $$
Then the present age of the husband $$ = 4 \times 8years = 32$$ years &
the wife's age $$ = 3 \times 8$$ years $$ = 24$$ years.
Let their marriage took place P years back.
Then, by the given condition,
$$\eqalign{
& \dfrac{{32 - p}}{{24 - p}} = \dfrac{5}{3} \cr
& \Rightarrow 96 - 3p = 120 - 5p \cr
& \Rightarrow 2p = 24 \cr
& \Rightarrow p = 12 \cr} $$
Hence, they were married before 12 years i.e. option A
Note: Here ratios were given, all we did is form equations on the basis of conditions were given in question. A ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this fraction.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)