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2 answers:
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Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
...(i)
Product of their ages = 54
[Using (i)]
Splitting the middle term, we get
Using zero product property, we get
If , then using (i), we get
If , then using (i), we get
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.
