Class 10 Mathematics | Word problems related to quadratic equation

Activity 4

Method

Write Sumitra's present age, 12 years, and her sister's, 18 years, and find their product.
Add 1 year to each age and find the product again.
Keep adding one year at a time until the product reaches 280.
Write the ages after \( x \) years as \( 12 + x \) and \( 18 + x \), form the equation, and compare its answer with the table.

Time	Sumitra's age	Sumitra's sister's age	Product of their ages
Now	12	18	216
1 year later	13	19	247
2 years later	14	20	280

Discussion

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