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
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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
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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.