i am thinking of a number. when i subtract 7 from the number and then multiply the result by 4, the answer is the same as subtracting the number from 40 and then multiplying the result by 8. Let the number be x. Write down an equation in x and solve it.

The value of x is 73

Step-by-step explanation:

Let the number be x

Now, when we subtract 7 from the number and then multiply the result by 4 i.e.,

(x - 7) × 4 = 4x - 28

Again, when we subtract 40 from the number and then multiply the result by 8 i.e.,

(x - 40) × 8 = 8x - 320

Here, Both are same

4x - 28 = 8x - 320

Now, Add 320 and subtract 4x from both side we get,

4x - 4x - 28 + 320 = 8x - 4x - 320 + 320

292 = 4x

4x = 292

Now, Divide both side by 4

4x/4 = 292/4

x = 73

Thus, The value of x is 73

4x - 28 = 8x - 320

4(73) - 28 = 8(73) - 320

262 = 262

Hence, L.H.S = R.H.S

-TheUnknownScientist 72