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The Ages of Two Sisters Are 11 Years and 14 Years. in How Many Years’ Time Will The Product of Their Ages Be 304? - ICSE Class 10 - Mathematics

Question

The ages of two sisters are 11 years and 14 years. In how many years’ time will the product of their ages be 304?

Solution

The ages of two sisters are 11 years and 14 years.
Let in x number of years the product of their ages be 304.

∴ (11 + x)(14 + x) = 304
154 + 11x + 14x + x^2 = 304
X^2 + 25x – 150 = 0
(x + 30) (x – 5) = 0
X = − 30, 5

But, the number of years cannot be negative. So, x = 5.
Hence, the required number of years is 5 years.

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Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6D | Q: 4

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Solution The Ages of Two Sisters Are 11 Years and 14 Years. in How Many Years’ Time Will The Product of Their Ages Be 304? Concept: Quadratic Equations.
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