Question

2. One number is 5 times another. If 18 is subtracted from the greater, the remainder will be 3 times the
smaller. Find the numbers ​

Answer 1

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

The Smaller Number is 9 and greater number is 45.

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

Given :

One Number is 5 times another.

When 18 is subtracted from the greater, the difference is 3 times the smaller number.

To Find :

The Numbers

Solution :

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

• Smaller Number as x
• Greater Number as 5x

$\rule{300}{1.5}$

◆ $\textbf{\small{\underline{According to the Question - }}}$

When 18 is subtracted from greater number the difference is equal to 3 times smaller number.

★ $\boxed{5x-18=3x}$

$\longrightarrow \: 5x - 18 = 3x$

$\longrightarrow \: 5x - 3x = 18$

$\longrightarrow \: 2x = 18$

$\longrightarrow \: x = \dfrac{18}{2}$

$\longrightarrow \: x = 9$

The Smaller Number is 9.

$\rule{300}{1.5}$

★ Value of 5x

$\longrightarrow \: 5 \times 9$

$\longrightarrow \: 45$

Greater Number is 45

$\therefore$ The Smaller Number is 9 and greater number is 45.

Answer 2

let the small number be x

Larger number will be 5x

ATQ -

18 is subtracted from greater number

the answer is 3 times smaller number

==> 5x - 18 = 3x

==> 5x - 3x = 18

==> 2x = 18

==> x = 18/2

==> x = 9

Smaller number is 9

5x = 5 × 9 = 45

.°. The numbers are 9 and 45.