Question

answer the marked questions.

Answer 1

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Answer 2

3)
charges are ₹60 for 1st 4 km
and ₹12/km after 1st 4 km
let soman travelled 4+y km
charges for 1st 4 km =₹60
charges for remaining y km =₹12×y
∴as per condition
12y+60=540
y=480/12
y=40
∴soman travelled 40+4=44km
4)
charges ₹5/adult
₹4/student
let x adults and y students visited the museum
∵as per condition
x+y=20…………(1)
the amounts are
5x and 4y
5x+4y=84…………(2)
operating
(2)-4(1)
5x+ 4y=84
₍₋₎4x+₍₋₎4y=80
---------------------
x=4
y=15[using(1)]
6)
the first three digit number is 100
and the last is 999
they are in AP
where
a=100
aₙ=999
and
common difference(d)=1
∴as per condition
aₙ=a+(n-1)d
999=100+1(n-1)
899=n-1
n=900
there are 900 natural numbers with three digits