Question

Find the no. Of natural no.s betw 102 & 998 which are divisible by 2 and 5 both

Answer 1

Answer:

Divisible by 2 is 449

Divisible by 5 is 179

Step-by-step explanation:

let the 1st AP be 102,104,106......998

• a=102
• d=2
• an=998
• n=?

An=a+(n-1)d

• 998=102+(n-1)2
• 998-102=(n-1)2
• 896=(n-1)2
• 896/2=(n-1)
• 448=(n-1)
• 448+1=n
• 449=n

Let the 2nd AP be 105,110,115.....995

• a=105
• d=5
• an=995
• n=?

An=a+(n-1)d

• 995=105+(n-1)5
• 995-105=(n-1)5
• 890=(n-1)5
• 890/5=(n-1)
• 178=(n+1)
• 178+1=n
• 179

Hope this may help you