Question

5. A number multiplied by 3 and increased by 5 is equal to the same number multiplied by 7 and decu
15. What is the number?​

Answer 1

Answer :

The required number is 5

Step-by-step explanation :

To Find ::-

• The number

Solution ::-

Let us assume the number as " x "

Given that,

• A number multiplied by 3 and increased by 5 is equal to the same number multiplied by 7 and decreased by 15

Left hand side: 3x + 5

Right hand side: 7x - 15

Therefore,

3x + 5 = 7x - 15 ... Given

According the question,

The required number is,

=> 3x + 5 = 7x - 15

=> 3x - 7x = - 15 - 5

=> - 4x = - 20

=> x = - 20 / - 4 ... cancelling the negative signs ( - ) from both the sides

=> x = 20 / 4 ... dividing 20 and 4 with 2

=> x = 10 / 2 ... dividing 10 and 2 with 2

=> x = 5

Therefore, the required number is 5.

Now, Verification

Putting 5 on x,

=> 3x + 5 = 7x - 15

=> 3*5 + 5 = 7*5 - 15

=> 15 + 5 = 35 - 15

=> 20 = 20

L.H.S = R.H.S

Hence, Verified !