Question

eight times of a number reduced by 10is equal to the sum of six times the number and 4.find the number?​

Answer 1

Given :

• Eight times of a number reduced by 10 is equal to the sum of six times the number and 4.

To Find :

• The number = ?

Solution :

⌬ Let the required number be 'x'.

⌬ Eight times of a number reduced by 10 = 8x - 10

⌬ Is equal to the sum of six times the number and 4 = 6x + 4

★ According to Question now :

→ 8x - 10 = 6x + 4

Combining like terms on one side :

→ 8x - 6x = 4 + 10

→ 2x = 14

Dividing both the sides by 2 we get :

→ x = 7

Hence, the required number is 7.

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● V E R I F I C A T I O N :

Substituting the value of x in equation 8x - 10 = 6x + 4.

➻ 8x - 10 = 6x + 4

➻ 8(7) - 10 = 6(7) + 4

➻ 56 - 10 = 42 + 4

➻ 46 = 46

⊙ LHS = RHS ⊙

Hence Verified !

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Answer 2

$\large{\boxed{\boxed{\textsf{Let's Understand Question F1}^{ \sf st}}}}$

Here, we have given that if 8times of a no. is reduced by 10 then it will be equal to the sum of 6times the same no. and 4. Then what will be the actual number.

$\large{\boxed{\boxed{\textsf{How To Do It?}}}}$

Here, F1st we let the actual no. be 'x' the going according to the Question we will reduced 8times of that no. by 10 and put it equal to the sum of 6times of that no. and 4. The solving the required eq. we will get the value of 'x' which is our required answer.

$\underline{\pink{\textbf{Note:}}}$ Here, I am letting the actual no. as 'x' but u can let as what you wish.

Let's Do It ⚡

$\huge{\underline{\boxed{\textsf{AnSwer}}}}$

_____________________________

Given:-

◘ 8times of a no. is reduced by 10 then it's equal to the sum of 6times the no. and 4.

Find:-

◙ What will be the number.

Solution:-

Let, the actual no. be 'x'

◗ 8times of a no. is reduced by 10.

⇒8x - 10

◗ Sum of 6times of a no. and 4

⇒6x + 4

$\huge\red\bigstar$ According To Question

⌦8x - 10 = 6x + 4

⌦8x - 6x = 4 + 10

⌦2x = 14

⌦x = $\sf\dfrac{14}{2}$

⌦x = 7

$\underline{\boxed{\therefore\sf The\:no.\: will\:be\:7}}$

_____________________________

◖Let's Verify It !

For verifying it we simply put the value of x in the eq.

$\sf\implies 8x - 10 = 6x + 4$

$\sf\implies 8(7) - 10 = 6(7) + 4$

$\sf\implies 56 - 10 = 42 + 4$

$\sf\implies 46 = 46$

Here, L.H.S = R.H.S

Hence, Verified