Question

Bhaskar called his friend Shakuntala for dinner to celebrate his wedding anniversary. Shakuntala reached the street where he was
but forgot the door number. She called Bhaskar for his door number. Being a geek in maths, he didn't give the door number directly but
told this
is the middle number of three numbers, where the difference between first and second number is same as that between
second and third. The product of the hrst and last is 273 and the sum of all three is 51". Shakuntala reached his house on time. His door number is

Answer 1

Answer:

Step-by-step explanation:

As between first and second number is same as that between

second and third.

Let say Three numbers were

a - d , a  , a + d

sum of all three is 51

=> a - d + a  + a + d  = 51

=> 3a = 51

=> a  = 17  

Hence house number was 17

as middle  number is the house number

The product of the first and last is 273 is not required

can be used to find other two numbers

(a - d)(a + d)  = 273

=> ( 17 - d)(1 7 + d) = 273

=> 289 - d² = 273

=> d² = 16

=> d = ±  4

Hence other two numbers are 13 & 21

His door number is  17

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