Mr. and Mrs. Ahuja weigh x kg and y kg respectively. They both take a dieting course, at the end of which Mr. Ahuja loses 5 kg and weighs as much as his wife weighed before the course. Mrs. Ahuja loses 4 kg and weighs 78 th of what her husband weighed before the course. Form two equations in x and y, find their weights before taking the dieting course.
Multiplying equation (1) with 8 we get,
8x−8y=40 ...(3)
Subtracting equation (2)from (3), we get
x=72
Substituting x=72 in the equation (1), we get
x−y=5=>72−y=5=>y=67
Hence, Mr Ahuja weighed 72kg and Mrs. Ahuja weighed 67 kg. before the dieting course.