Question

In 6 years, Mariya will be as old as Vikram is now. In 2 years, Vikram will be three times older than Mariya. Find their ages now.
I got that Mariya is 4 and Vikram is 10, but it is apparently wrong, so can you please tell me the right answer and what I did wrong. Thanks.

Answer 1

Answers:

Mariya is currently 1 years old

Vikram is currently 7 years old

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Explanatin:

M = Mariya's current age

V = Vikram's current age

"In 6 years, Mariya will be as old as Vikram is now" means that

M+6 = V

Since adding 6 to M gets Mariya's age 6 years into the future, which is set equal to Vikram's current age. The equation above is the same as V = M+6.

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"In 2 years, Vikram will be 3 times older than Miriya" telling us that

V+2 = 3*(M+2)

Basically we add 2 to each current age to get V+2 and M+2 respectively. Then we triple (M+2) so that we get V+2.

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Let's plug in V = M+6 and solve for M

V+2 = 3*(M+2)

M+6+2 = 3*(M+2) .... replace V with M+6

M+8 = 3M+6

8-6 = 3M-M

2 = 2M

2M = 2

M = 2/2

M = 1

Mariya is currently 1 years old.

V = M+6

V = 1+6

V = 7

Vikram is currently 7 years old

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If we add 6 to Mariya's current age, we get 7 which is Vikram's current age (don't change Vikram's age)

Go back to M = 1 and V = 7, and add 2 years to each. So we have

M+2 = 1+2 = 3

V+2 = 7+2 = 9

In 2 years, Mariya and Vikram are 3 and 9 respectively. Note how he is three times older than she is at this point in time.

These facts help us confirm we have the right answers.

Answer 2

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