Question

The sum of two numbers is 180 if they exceed the other by 42 find the number

Answer 1

Answer:

⇒ Let one number be x, then other number will be 18−x.

According to the question,

⇒

x

1

+

18−x

1

=

4

1

⇒

18x−x

2

18−x+x

=

4

1

⇒

18x−x

2

18

=

4

1

⇒ 72=18x−x

2

⇒ x

2

−18x+72=0

⇒ x

2

−12x−6x+72=0

⇒ x(x−12)−6(x−12)=0

⇒ (x−12)(x−6)=0

⇒ x=12 and x=6

⇒ Let x=6 then, 18−x=12

∴ Two number are 6 and 12

⇒ Smallest number is 6.