Question

Q.1 After 12 years Kanwar shall be 3 times as old as he was 4 years ago. find his present age?

Q.2 The sum of the digits of a two-digit number is 8. When the digits are reversed the number increases by 18 what is the original number?

Q.3 Carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the and the labour charges Rs. 200/hr. Did how many hours did the carpenter work?

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Answer 1

1.)Let his age be x

after 12 years=x+12

Ato q

x+12=3(x-4)

=x+12=3x-12

=12+12=3x-x

=24=2x

=x=12 years,his present age.

2.)let the ones place no.be x

and tens place no.be. y

AtoQ

x+y=8..............1

10x+y=10y+x+18

=10x-x=10y-y+18

=9x-9y=18

x-y=2...........2

solving eqn.1 and 2 we get

2x=10

=x=5

y=3

required no.is35

3.)Wage of carpenter=2500-1100=1400

Time taken=wage /rate

=1400/200=7hours