Question

27 when added to twice a number x, and
then increased by 13, gives us 60. The
value of x is
(A) 20
(B) 15
(D) 5
sinn​

Answer 1

Answer :-

• The value of x is 10.

Given :-

• 27 when added to twice a number x, and then increased by 13, gives us 60.

To find :-

• The value of x.

Step-by-step explanation :-

Let the number be x.

Twice the number x = 2x.

Adding 27 to it, we get 2x + 27.

Now, adding 13 to the expression, we get 2x + 27 + 13.

According to the question,

$\tt2x + 27 + 13 = 60$

Adding 27 and 13,

$\tt 2x + 40 = 60$

Transposing 40 from LHS to RHS, changing it's sign,

$\tt2x = 60 - 40$

Subtracting 40 from 60,

$\tt2x = 20$

Transposing 2 from LHS to RHS, changing it's sign,

$\tt x = \dfrac{20}{2}$

Dividing 20 by 2,

$\tt x = 10.$

Hence, the required number = 10.

Answer 2

Let the number be ${x}$

The twice number x be ${2 \ x}$

Adding 27 to it

The number increases by 13

It gives us 60

∴$\pink{2x+27+13=60}$

∴$\pink{2x+40=60}$

Moving 40 to the right side after 60 and so the 40 will change into - 40

∴$\pink{2x=<u>60-40</u>}$

∴$\pink{2x=20}$

∴$\pink{x=20/2}$

∴$\pink{x=10}$

Hence the answer is 10