Question

Ayushi and Tina are climbing the steps to a hill. Ayushi is at the step 'x', and Tina is 6 steps behind. The total number of steps to the hill top is 3 steps less than 8 times what Ayushi and Tina both have reached. Express the total number of steps using 'x'
​

Answer 1

Answer-

Total number of steps = 16x - 51

$\rule{200}2$

Explanation-

Ayushi and Tina are climbing the steps to a hill.

Ayushi is at step 'x' and Tina is 6 steps behind Ayushi.

So, step of Tina = x - 6

Now, the total steps of Ayushi and Tina is given by the total of their steps.

i.e

→ x + x - 6

→ (2x - 6) steps

The total number of steps to the hill top is 3 steps less than 8 times what Ayushi and Tina both have reached.

According to question,

Total number of steps = 8 × (2x - 6) - 3

→ 16x - 48 - 3

→ 16x - 51

We have to find the total number of steps reached by both Aysuhi and Tina in terms of x.

Therefore,

The correct answer is (16x - 51) steps.

If we have given the value of x then we will put that value and find the total number of steps.

But as it is not given, so we write answer in terms of x.

Answer 2

Answer:

${\boxed{\bold\green{Total\:steps=16x - 51}}}$

Step-by-step explanation:

As Ayushi is at the step x

$\therefore$ Tina is at = (x - 6) steps.

$\therefore$ Total steps =( x + x - 6)

$\rightarrow\sf Total\:steps = 2x - 6$

Now,

Total steps to the hill top is 3 steps less than 8 times of both the steps that Tina and Ayushi have reached.

So,

$\rightarrow\sf Total\:steps\:to\:hill\:top = 8 \times (2x-6)-3 \\\\\rightarrow\sf Total\:steps = 16x - 48 - 3$

$\rightarrow{\boxed{\sf {Total\:steps = 16x - 51}}}$

$\therefore\bold{\underline{Total\:number\:of\:steps=16x - 51}}$