Question

Two consecutive natural numbers are such that one fifth of the greater exceed one sixth of the smaller by 1. Find the numbers
1)34 and 35
2)44 and 45​

Answer 1

Answer:

Let smaller number =x

Larger number =x+1

According to question,

⇒

4

x

−

5

x+1

=1

⇒

20

5x−4x−4

=1

⇒x=20+4

⇒x=24

⇒ Smaller number =24

⇒ Larger number =24+1=25

Hence, solved.