Question

two number are in the ratio 3 ratio 5 if 9 is the subtract in for each the new number are in the ratio 12 ratio 23 find the smaller number​

Answer 1

Answer

Smallest number = 33

Step-by-step explanation:

Let the numbers be 3x and 5x

According to question

3x-9/5x-9 = 12/23

69x -207 = 60x -108

69x-60x = -108+207

9x = 99

x = 11

So smaller number = 3×11 = 33

I hope it helps you....

Answer 2

AnswEr :

• Original Ratio = 3 : 5
• When we Subtract 9 from each, then New Number will be in Ratio 12 : 23.

Let the Numbers be 3x and, 5x.

• Let's Head to the Question Now :

$\longrightarrow \tt (3 : 5) - 9 \: from \:each = 12 : 23 \\ \\\longrightarrow \tt \dfrac{3x - 9}{5x - 9} = \dfrac{12}{23} \\ \\\longrightarrow \tt23(3x - 9) = 12(5x - 9) \\ \\\longrightarrow \tt69x - 207 = 60x - 108 \\ \\\longrightarrow \tt69x - 60 = 207 - 108 \\ \\\longrightarrow \tt9x = 99 \\ \\\longrightarrow \tt x = \cancel\dfrac{99}{9} \\ \\\longrightarrow \purple{\tt x = 11}$

$\rule{300}{1}$

• O R I G I N A L ⠀N O ( S ).

◗ Smaller No. = 3x = 3(11) = 33

◗ Greater No. = 4x = 4(11) = 44

⠀

∴ Therefore, Smaller Number will be 33.

$\rule{300}{2}$

• V E R I F I C A T I O N :

↠ (3 : 5) – 9 from each = 12 : 23

↠ (3x – 9) : (5x – 9) = 12 : 23

↠ 3(11) – 9 : 5(11) – 9 = 12 : 23

↠ 33 – 9 : 55 – 9 = 12 : 23

↠ 24 : 46 = 12 : 23

↠ 12 : 23 = 12 : 23 ⠀⠀⠀⠀⠀Hence, Verified!

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