Question

The two numbers are in the ratio 1:18. If a larger number is 108 times more than 12 times smaller , find these numbers.

Answer 1

✬ First Number = 18 ✬

✬ Second Number = 324 ✬

Correct Question : The two numbers are in the ratio 1:18. If a larger number is 108 more than 12 times smaller , find these numbers.

Step-by-step explanation:

Given:

• Two numbers are in ratio of 1 : 18.
• Larger number is 108 more than 12 times the smaller.

To Find:

• What are these two numbers ?

Solution: Let x be the common in given ratio. Therefore,

➙ First number = x

➙ Second number = 18x

Here, larger number is 18x i.e second number.

A/q

• Larger number is 108 more than 12 times the smaller.

$\implies{\rm }$ 18x = 12(x) + 108

$\implies{\rm }$ 18x – 12x = 108

$\implies{\rm }$ 6x = 108

$\implies{\rm }$ x = 108/6

$\implies{\rm }$ x = 18

So, These numbers are

➨ First number = x = 18

➨ Second number = 18(x) = 324

____________________

★ Verification ★

➭ First number/Second number

➭ 18/324

➭ 1/18 or 1 : 18

$\large\boxed{\texttt{Verified}}$

Answer 2

$\huge \underline{ \blue{ \boxed{ \bf \orange{Answer:-}}}}$

$\red{\bold{\underline{\underline{Given:-}}}}$

• Two Numbers In The Ratio 1:18.

• Larger Number is 108 More Than 12 times Smaller.

$\blue{\bold{\underline{\underline{To\:Find:-}}}}$

• Numbers

Solution :

Let the 1st number be x

And, 2nd number 18x

According To Question :

$18x = 12x + 108$

$18x - 12x = 108$

$6x = 108$

$x = \frac{108}{6}$

$\bf\green{So,}$

$x = 18$

x = 18

18x = 18 × 18

= 324

$\tt\purple{Numbers:}$

• 18
• 324

$\bf\blue{Hope\ it\ helps.}$

$\bf\pink{Plz\ Mark\ As\ Brainliest.}$