Question

If 8 subtracted from five times a number is one less than four times the number, find the number.

Answer 1

Answer:

Step-by-step explanation:

Given :-

When 8 is subtracted from five times a certain number, the result is four more than four times the number.

To Find :-

Required number

Solution :-

Let the required number be x

Now, it is given that when 8 is subtracted from 5 times a certain number then the result is four more than four times the number

→ 5x - 8 = 4x + 4

→ 5x - 4x = 4 + 8

→ x = 12

Hence,

The required number is 12

Verification :-

5x - 8 = 4x + 4

Let LHS = 5x - 8

RHS = 4x + 4

Put the value of x = 12 in both LHS and RHS

LHS = 5x - 8

→ 5 × 12 - 8

→ 60 - 8

→ 52

RHS = 4x + 4

→ 4 × 12 + 4

→ 48 + 4

→ 52

Hence, LHS = RHS verified