Question

Construct a word problem on linear equation in two variables (age related problem) so that one answer

will be 1. Solve the problem you have constructed.​

Answer 1

Word prooblem: Given that, the sum of the ages of Mrs. Basu and her son is 30 years, and the difference of their ages is 28 years. Find their ages.

Answer: Mrs. Basu is 29 years old and her son is 1 year old.

Step-by-step explanation:

Let the ages of Mrs. Basu and her son be x and y respectively.

Here, clearly, x > y.

The sum of the ages of Mrs. Basu and her son is 30 years.

According to the question,

x + y = 30 ... (1)

Again, the difference of their ages is 28 years.

According to the question,

x - y = 28 ... (2)

Now, (1) + (2) ⇒

x + y + x - y = 30 + 28

⇒ 2x = 58

⇒ x = 29

Putting x = 29 in (1), we get

29 + y = 30

⇒ y = 1

Thus Mrs. Basu is 29 years old and her son is 1 year old.