Question

One-tenth of a number added to one-sixth of the same number gives 64. Find the number.​

Answer 1

1/10x+1/6x=64

Step-by-step explanation:

6/60x+10/60x=64

16/60x=64/1

60×64/16

x=240

now you can find

Answer 2

The required number is equal to 240.

Step-by-step explanation:

Let the required number is x.

To find, the required number = ?

According to question,

∴  $\dfrac{1}{10}x+\dfrac{1}{6}x=64$

LCM of 10 and 6 = 30

⇒ $\dfrac{3x+5x}{30}=64$

⇒ $\dfrac{8x}{30}=64$

⇒ $x=\dfrac{64\times 30}{8}$

⇒ x = 8 × 30 = 240

∴ The required number = 240

Thus, the required number is equal to 240.