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The sum of ages of two …

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The sum of ages of two friends is 20 years .Four years ago the product of their was 48 show that these statements can not be true

Posted by Riya Bhatu 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 5 months ago

Let the ages be x and y
x+y=20---------------(1)
4 years ago......
(x-4)(y-4)=48
xy-4x-4y-16=48
xy-4(x+y)=48+16
xy-4(20)=64
xy=144
x=144/y
substitute in (1)
x+y=20
144/y+y=20
144+y²=20y
y²-20y+144=0
which is impossible to be solved
so, it is impossible

1Thank You

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