The ratio of age of a man and his wife is 4:3 ...at the time of marriage, the ratio was 5:3 and after 4 yrs the ratio will become 9:7... How many yrs ago were they married?
Let the number of years ago they were married be y years ago.
The ratio of age of a man and his wife is 4:3
So there is some number k, so that the man's age is now 4k
and the wife's age is now 3k
...at the time of marriage, the ratio was 5:3








and after 4 yrs the ratio will become 9:7...








Substitute that in








Answer: 12 years ago.
Checking:
The man is 4k = 4(8) = 32
The wife is 3k = 3(8) = 24
The ratio of age of a man and his wife is 4:3
32/24 = 4/3, that checks.
...at the time of marriage, the ratio was 5:3
They married 12 years ago when he was 20 and she was only 12. (WOW!)
20/12 = 5/3, that checks. (WOW!!)
and after 4 yrs the ratio will become 9:7...
He will be 36 and she will be 28
36/28 = 9/7, that checks.
That's correct but I think it's terrible that your teacher would assign
a problem that implies that a girl was married at age 12, even if it is
only a math problem !!!
Edwin