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15-09-2022
Mathematics

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A man if five times as old as his son. The sum of squares of their ages is 2106. How old is the son?

Respuesta :

2049784 2049784

15-09-2022

Answer: IS A

Step-by-step explanation: Correct option is A)

Let the age of the son be x

∴ The age of his father =5x

Given that

(5x)

2

+(x)

2

=2106

25x

2

+x

2

=2106

x

2

=

26

2106

=81

∴x=9

∴ Age of son =9 years

Age of father =5x9=45 years

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