Question

if A and B are two consequtive number
and their multiplication is 240 then
find the value of B?
?​

Answer 1

Answer :-

Given :-

• A and B are two consecutive number.
• A × B = 240

To Find :-

• Value of B

Solution :-

Let A be x.

As A and B are consecutive number,

B will be x + 1

According to the question :-

→ A × B = 240

→ x × ( x + 1 ) = 240

→ x² + x = 240

→ x² + x - 240 = 0

→ x² + 16x - 15x - 240 = 0

→ x ( x + 16 ) - 15 ( x + 16 ) = 0

→ ( x - 15 ) ( x + 16 ) = 0

• x = 15 , - 16

→ A = 15 or - 16

→ B = x + 1

→ B = 15 + 1 = 16

→ B = - 16 + 1 = - 15

Value of B = 16 , - 15

Answer 2

QuestioN :

If A and B are two consequtive number  and their multiplication is 240 then  find the value of B ?

GiveN :

• A and B are two consecutive number.

• A × B = 240

To FiNd :

The value of B ?

ANswer :

The value of b =  −16 , −15 , or  15 , 16  

SolutioN :

$\sf let,$

$\sf The\: first \:consecutive\: integer\: is \: x.$

$\sf So \:the\: second \:consecutive \:integer\: is\: (x+1)$

$\sf According \:to\: the\: question,$

$\sf x(x+1)=240$

$\sf or, \: x^{2} +x=240$

$\sf or,\: x^2+x-240=0$

$\sf or, x^2+16x-15x-240=0$

$\sf or, \: x(x+16)-15(x+16)=0$

$\sf or,\: (x+16)\:(x-15)=0$

$\sf So, \:either \:x+16=0$

$\sf hence,\: x=\:-16$

$\sf Or,$

$\sf x-15=0$

$\sf so, \: x=15$

$\sf Now,\: if \:x\:=\:-16$

$\sf The\: first \:consecutive\: integer\: is \: -16$

$\sf So\: the \:second\: consecutive\: integer \:is \:(-16+1)=-15$

$\sf Again, \:if \: x=15$

$\sf The\: first\: consecutive \:integer\: is\: 15$

$\sf So \:the\: second \:consecutive \:integer \:is\: (15+1)=16$

$\sf So, \:the \:consecutive \:integers\: are\: -16 , -15 , or \:15 ,\: 16$

∴Hence, The value of b =  −16 , −15 , or  15 , 16

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