Anu is 12 years older than her sister. After 4 years. Anu’s age will be
equal to thrice the age of her sister Manya. Find their present ages.
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Let Present age of her sister Manya be x years.
Then, Age of Anu will be (12 + x) years.
⠀⠀ ━━━━━━━━━━━━━━━━⠀⠀⠀⠀
☆ ACCORDING TO GIVEN QUESTION :
- After 4 years, Anu’s age will be equal to thrice the age of her sister Manya.
⠀▪︎⠀ Age of Manya after 4 years = (x + 4) years
⠀▪︎ ⠀Age of Anu after 4 years = (x + 16) years
Therefore,
(Age of Anu) = 3(Age of Manya)
⇢ (x + 16) = 3(x + 4)
⇢ x + 16 = 3x + 12
⇢ x - 3x = 12 - 16
⇢ - 2x = - 4
⇢ x = 4/2
⇢ x = 2
━━━━━━━━━━━━━━━⠀⠀⠀⠀
Therefore, Their Present Age will be :
⠀▪︎⠀Present Age of Manya, x = 2 years
⠀▪︎⠀Present Age of Anu, (x + 12) = (2 + 12) = 14 years
∴ Hence, Present age of Anu and Maya is 14 years & 2 years respectively.
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