Question

When 2 is subtracted from one-fourth of a number, the result is seventeen. Find the number

Answer 1

Answer:

79

Step-by-step explanation:

Add.

17 + 2 = 19

Multiply.

19 x 4 = 79

Answer 2

Answer:

-60 is the number we got if we subtract 2 from one-fourth of a number and also the result is seventeen.

Solution:

Step 1:

Let the number we need to find be K.

We can write the given data as below

$2-\frac{1 \mathrm{K}}{4}=17$

Step 2:

Evaluate the above expression to find the value of k.

So take LCM of L.H.S. Since both the denominators are 4, the L.C.M is also 4

$\frac{8}{4}-\frac{1 \mathrm{K}}{4}=17$

Step 3:

Bring 4 to R.H.S

$8-\mathrm{K}=17 \times 4$

8 – K = 68

-K = 68 – 8

-K = 60.

K = -60

Result:

Finally we got the value of K as -60 using the given data.