11. The sum of the ages of Subham and his sister is 8 years. Subham is 7 years younger than his sister. Find
his age.
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Given sum of ages of Subham and his sister is 8 years.
let the age of Subham and his sister be x and y respectively.
therefore x + y = 8 years -------(i)
ATQ, Subham is 7 years younger than his sister.
➡ x = y - 7 (since x is 7 years younger than y)
now, putting value of x = y - 7 in equation (i)
➡ (y - 7) + y = 8
➡ y - 7 + y = 8
➡ y + y = 8 + 7
➡ 2y = 15
➡ y = 15/2 or 7.5 years
hence,
the age of Subham's sister is = y
= 15/2 or 7.5 years
and Subham's age is = x = y - 7
= 15/2 - 7
= 1/2 or 0.5 years
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