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Answers
Answer:
Let Ashimas’s present age = A years
According to the first given condition i.e.,lochan is twice as old as Ashima.
Therefore, S = 2A …(i)
Given, if six years is subtracted from Ashima’s age and four years added to lochan s age, then lochan will be four times that of Ashima’s age.
Therefore,
4×(A–6)=S+4
⇒4A–24=S+4
⇒4A–S=28 …(ii)
Now, putting value of S from equation (i) in equation (ii), we get
4A –2A = 28
⇒2A=28 ⇒A=14
Thus, Ashima’s present age is 14 years.
Putting value of A in equation (i), we have
S=2×14=28years
lochans present age is 28 years.
Ashima’s age 2 years ago = (14 – 2) years = 12 years
lochan’s age 2 years ago = (28 – 2) years = 26 years
Sum of Ashima’s age and lochan ’s age two years ago = (12 + 26) years = 38 years
So, the correct answer is “38 years''