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:

17

Step-by-step explanation:

A-b =b - c

2b =a +c

A+ b + c =51

A+ c =51 - b

2b = 51-b

3b = 51

B =17

A+ c = 34

Ac =273

13 ×21 = 273

13+21= 34

Numbers

13 17 21

Middle number 17

Answer 2

Answer:

Step-by-step explanation:

Let xyz be the number

From question it is given

x-y=y-z

also $x\cdot z=273$----1

x+y+z=273

2y=51

y=17

x+z=34---2

From 1 and 2

$x+\frac{273}{x}=34$

$x^2-34x+273=0$

x=13, 21

Thus z can be 21 or 13

Number can be 131721 or 211713