Verified answer

Answer:

• Number is " 17 " that is "Option 3rd"

Step-by-step explanation:

Given that ,

• Sum of four times a number and -8 is equal to 60.

We have to find ,

• The number.

Solution :

For finding the value of number we need to make an equation according to the given statement. First of all we are assuming the number as "x" .

#Forming Equation :

→ Four times a number = "4x"

→ Sum of four times a number and -8 = "4x + (-8)"

As sum of four times a number and minus 8 is equal to 60 . So the equation formed is :

• 4x + (- 8) = 60

• 4x - 8 = 60

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Calculating value if x :

[tex] \longmapsto \: \: \: \sf{4x - 8 = 60}[/tex]

Adding 8 to both sides :

[tex]\longmapsto \: \: \: \sf{4x - \cancel{8 }+ \cancel{8 }= 60 + 8}[/tex]

We get ,

[tex]\longmapsto \: \: \: \sf{4x = 68}[/tex]

Dividing both sides with 4 :

[tex]\longmapsto \: \: \: \sf{ \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{\dfrac{68}{4} }}[/tex]

We have ,

[tex]\longmapsto \: \: \: \underline{\sf{ \boxed{ \bold{x = 17}}}} \: \: \: \bigstar[/tex]

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• Therefore , the number is "17"

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Verification:

• 4x - 8 = 60

• 4 ( 17 ) - 8 = 60

• 68 - 8 = 60

• 60 = 60

• LHS = RHS

• Hence, Verified.

Therefore , our answer is correct.