Sunita is twice as old as Ashima. If six years is subtracted from Ashima’s age and four years added to Sunita’s age, then Sunita will be 4 times Ashima’s age. How old was Ashima two years ago.
14
12
16
10
just ans
Answers
Hey !
Let the present age of Ashima = x
Given,
Sunita is twice as old as Ashima
=> Present age of Sunita = 2x
If six years is subtracted from Ashima’s age, then
Ashima's age => x -6
And four years added to Sunita’s age, then
Sunita's age => 2x+4
Sunita will be 4 times Ashima’s age.
=> 2x+4 = 4 × ( x-6)
=> 2x+4 = 4x -24
=> 2x = 28
=> x = 14
Present age of Ashima = 14
Ashima's age 2 years ago = Ashima's present age -2 = 14-2 = 12.
•°• 2 years ago, Ashima was 12 years old
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Answer:
Ashima will be 12 years old.
Step-by-step explanation:
Solution :
Let Ashima's age be y
The age of Sunita will be 2y years.
According to the question,
If 6 years is subtracted from Ashima’s age and four years added to Sunita’s age, then Sunita will be 4 times Ashima’s age.
⇒ 4(y - 6) = 2y + 4
⇒ 4y - 24 = 2y + 4
⇒ 4y - 2y = 4 + 24
⇒ 2y = 28
⇒ y = 14
Present age of Ashima = 14 years
Ashima's age 2 years ago -
⇒ 14 - 2
⇒ 12
Ashima's age 2 years ago = 12 years
Therefore, Ashima will be 12 years old.