Management Aptitude Test Sep 2020 Paper

Question : 111 of 200

Marks: +1, -0

If the ages of

{P}

and

{R}

are added to twice the age of

Q

, the total becomes 59 . If the ages of

Q

and

{R}

are added to thrice the age of

{P}

, the total becomes 68 and if the age of

P

is added to thrice the age of

Q

and thrice the age of

R

, the total becomes 108. What is the age of P?

Solution:

Let the ages of

P, Q

and

R

x, y

and

z

yr, respectively.
According to the question,

x+2 y+z \;\; =59

. . . (i)

3 x+y+z \;\; =68

. . . (ii)

x+3 y+3 z \;\; =108

. . . (iii)
On multiplying Eq. (ii) by 3 and subtracting from Eq. (iii), we get

8 x=96 ⇒ x=12 {yr}

∴

Age of

P=12 {yr}

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