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?	Choose the most appropriate option:	A) 8	B) 9	C) 10	D) 11	E) 12
Let the present age of the man and his wife be 4x and 3x respectively.   After 4 years this ratio will become 9:7   ⇒(4x+4):(3x+4)=9:7⇒7(4x+4)=9(3x+4)⇒28x+28=27x+36⇒x=8   Present age of the man =4x=4×8=32   Present age of his wife =3x=3×8=24   Assume that they got married before t years. Then,   (32−t):(24−t)=5:3⇒3(32−t)=5(24−t)⇒96−3t=120−5t⇒2t=24⇒t=242=12   Answer is 12.
<result>E</result>
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?