Question

if you subtract 1/8 from a number and multiply the result by 1/9, you get 1/16. What is the number​

Answer 1

Given :

• You subtract 1/8 from a number and multiply the result by 1/9, you get 1/16.

To find :

• The number =?

Step-by-step explanation :

Let the required number is x,

According to the question :

➮ (x - 1/8)×1/9 = 1/16

➮ [(8x-1)/8] × 1/9 = 1/16

➮ (8x-1) = 72/16

➮ 8x = 9/2 + 1

➮ x = 11/(2 × 8)

➮ x = 11/16

Verification :

We have,

(x - 1/8)×1/4 = 1/16

On putting the value of x = 11/16 in the above equation, we get,

➮ (11/16 - 1/8) × 1/9 = 1/16

➮ 11/144 - 1/72 = 1/16

➮ 11 - 2/144 = 1/16

➮ 9/144 = 1/16

➮ 1/16 = 1/16

LHS = RHS

Hence, it is verified.

Answer 2

★ Question

if you subtract 1/8 from a number and multiply the result by 1/9, you get 1/16. What is the number.

$\rule{300}2$

Let the number be = x

So,

$\leadsto\tt x-\frac{1}{8}×\frac{1}{9}=\frac{1}{16}----equ(1)$

According to question

$\leadsto\tt x-\frac{1}{8}×\frac{1}{9}=\frac{1}{16}\\\leadsto\tt \frac{8x-1}{8}×\frac{1}{9}=\frac{1}{16}\\\leadsto\tt 8x-1=\frac{72}{16}\\\leadsto\tt 8x=\frac{9}{2}+1\\\leadsto\tt x=\frac{11}{2×8}\\\leadsto\tt x=\frac{11}{16}$

HENCE,

the required number is = 11/16

Verification

putting x=11/16 in the above equation---(1)

Now,

L.H.S

$\implies\tt \frac{11}{16}-\frac{1}{8}=\frac{1}{16}\\\implies\tt \frac{11}{144}-\frac{1}{72}=\frac{1}{16}\\\implies\tt 11-\frac{2}{144}=\frac{1}{16}\\\implies\tt\frac{9}{144}=\frac{1}{16}\\\implies\tt \frac{1}{16}=\frac{1}{16}\:\:(R.H.S)$

HENCE,

VERIFIED