Question

Two numbers are in the ratio 4:5. If the first number is 24, find the other. If 2 is subtracted from each, what is the new ratio?

Answer 1

Let other no be x
A/c to ques
24/x=4/5
4x=120
x=30 ans
Now 24-2/30-2=22/28
11:14 is the new ratio Ans

Answer 2

$\mathfrak{Answer:}$

= 11 : 14 .

$\mathfrak{Step-by-step\:Explanation:}$

$\underline{\bold{Given\:in\:the\:Question:}}$

• Ratio of the two numbers are 4 : 5.
• First No. = 24.

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

• If 2 is subtracted from each then Ratio of new numbers = ?

$\mathfrak{Solution:}$

 

Let the first no. be 4x and second no. be 5x .

$\mathfrak{According\:to\:Question:}\\\\\\\implies\tt{4x=24}\\\\\\\implies\tt{x=\dfrac{24}{4}}\\\\\\\therefore\quad\tt{x=6.}\\\\\\\bullet\quad\bold{Second\:no.=5x.}\\\\\\\tt{=5\times 6}\\\\\\\tt{=30.}\\\\\\\bold{Ratio\:of\:numbers\:if\:2\:is\:subtracted.}\\\\\\\tt{=(24-2):(30-2)}\\\\\\\tt{=22:28}\\\\\\\tt{=11:14}\\\\\\\boxed{\boxed{\bold{Ratio=11:14.}}}$