Question

Anshu's present age is four times the Priya's age
and eight-thirteenth of his father's age. The sum of
present ages of all the three is 138 years. What is
the difference between the present ages of Priya
and Anshu's father?​

Answer 1

Step-by-step explanation:

Let,

Priyas present be x

Anshu age=4x

Father's age=y

so,

Anshus age=8y/13

Here,

4x=8y/13.......eqn(1)

Now, ATQ

4x+x+8y/13=138

or, 5x+4x=138[from eqn(1)]

or, 9x=138

or,x=138/9

or,x=15.33

Hence, priyas age=15.33

So,

Anshu age=4x

=4×15.33

=61.33

Again, From eqn (1)

4x=8y/13

or,61.33×13=8y

or,797.29=8y

or,y=797.28/8

Hence,y=99.69

So,

Diiference=99.69-15.33

=84.36