Question

the sum of two consecutive multiples of 17 is 85. find these number.​

Answer 1

$\huge\bf\underline\mathfrak{Answer}$

$\bf{Given}$ -

Sum of two consecutive multiples of 17 is 85.

$\bf{To\:find}$ -

These numbers.

$\bf{Calculation}$ -

Let the two consecutive multiples of 17 be 17x and 17x + 17.

According to the Question,

17x + 17x + 17 = 85

34x + 17 = 85

34x = 85 - 17

34x = 68

x = 68/34 => 2

Therefore, x = 2

And,

17x = 17(2) = 34

(First multiple of 17)

17x + 17

= 17(2) + 17

= 17(2) + 17

= 34 + 17

=> 51

(Second multiple of 17)

Thus, the two multiples are 34 and 51.

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The two Consecutive Multiples of 17 whose sum is 85 are 34 and 51.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Sum of the two consecutive multiples of 17 is 85

To Find :

The numbers

Solution :

◆ $\textbf{\small{\underline{Consider -}}}$

• One number as x
• Second Number as (x + 17)

$\rule{300}{1.5}$

★ $\boxed{x + (x+17)=85}$

$\longrightarrow \: x + (x + 17) = 85$

$\longrightarrow \: x + x + 17 = 85$

$\longrightarrow \: 2x = 85 - 17$

$\longrightarrow \: 2x = 68$

$\longrightarrow \: x = \dfrac{68}{2}$

$\longrightarrow \: x = 34$

One Number = 34

$\rule{300}{1.5}$

★ Value of (x + 17)

$\longrightarrow \: 34 + 17$

$\longrightarrow \: 51$

Second Number = 51

$\rule{300}{1.5}$

Check if 34 and 51 are Consecutive Multiples of 17 or not.

$\longrightarrow \: 34 \div 17 =2$

$\longrightarrow \: 51 \div 17 = 3$

They are Consecutive Multiples of 17.

$\therefore$ The two Consecutive Multiples of 17 whose sum is 85 are 34 and 51.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Add 34 and 51, if the sum is 85, then the answer is correct.

$\longrightarrow \: 34 + 51 = 85$

$\longrightarrow \: 85 = 85$

$\therefore$ The two Consecutive Multiples of 17 whose sum is 85 are 34 and 51.