Question

Q.6. In 12 years, M will be thrice as old as N was 12 years ago. If M is now 8 years older than N, the present age of N is (in years):

Answer 1

Answer:

10

Step-by-step explanation:

let present age of N be x .

present age of M is x+8.

after 12 years,

age of M = x+8+12 = x+20

age of N = x+12

according to question,

age of M = 3(x) where x is age of N 12 years ago

x+20=3x

20=3x-x

2x=20

x=10

Answer 2

Present age of N is 28 years.

Given: In 12 years, M will be thrice as old as N was 12 years ago. If M is now 8 years older than N.

To find: The present age of N is (in years).

Solution:

Step 1: Assume the ages of M and N as variable.

Let the present age of M is x years.

So, present age of N is (x-8) years.

(Because M is now 8 years older than N)

Step 2: Write equation from statement.

As, In 12 years, M will be thrice as old as N was 12 years ago .

Age of M, after 12 years: (x+12) years

Age of N, before 12 years: (x-8-12) years

= (x-20) years

According to the statement

$x + 12 = 3(x - 20)$

or

$x + 12 = 3x - 60$

or

$x - 3x = - 60 - 12$

or

$- 2x = - 72$

or

$x = 36$

Present age of M is 36 years.

Present age of N is (x-8),

So, it is 36-8=28 years

Thus,

Present age of N is 28 years.

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