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25. The ratio of the age of a man and his
wife is 4: 3. At the time of marriage the
ratio was 5 : 3 and After 4 years this
ratio will become 9: 7. How many years
ago were they married?
B. 12 years
A. 8 years
C. 11 years
D. 10 years
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Answer:
Option-- A
Step-by-step explanation:
Let their present age be 4x & 3x.
Then, after 4years the husband's age =4x+4 and the wife's age =3x+4.
So, by the given condition,
3x+44x+4=79⟹28x+28=27x+36⟹x=8.
Then the present age of the husband=4×8years=32years &
the wife's age=3×8years=24years.
Let their marriage took place P years back.
Then, by the given condition,
24−P32−P=35⟹96−3P=120−5P⟹2P=24⟹P=12yrs.
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