Question

Two Number are in the
ratio 1:3 If 15 is is added to
both the numbers, then the
new ratio is 1:2
Find the number
​

Answer 1

Answer:

SOLUTION :

Let one number be 1x

another number be 3x

According to the question :

if 5 is added to both numbers the ratio becomes 1:2

so, \begin{gathered}\bf \frac{1x + 5}{3x + 5} = \frac{1}{2}\\\\= > 2(1x + 5) = 1(3x + 5)\\\\= > 2x + 10 = 3x + 5 \\\\= > 2x - 3x = 5 - 10 \\\\ = > - x = -5 \\\\= > x= 5\end{gathered}3x+51x+5=21=>2(1x+5)=1(3x+5)=>2x+10=3x+5=>2x−3x=5−10=>−x=−5=>x=5

one number = 1x = 1 × 5 = 5

another number = 3x = 3 × 5 = 15

Hence,

two numbers are 5 and 15

Answer 2

Answer:

• 15 & 45

Step-by-step explanation:

Question says that, Two numbers are in ratio 1:3 if 15 is added to both the numbers the ratio will be 1:2. Find the numbers.

Step 1 : Considering the numbers are :

➪ $x$

➪ $3x$

Step 2 : Add 15 two both the numbers :

➪ $x + 15$

➪ $3x + 15$

Step 3 : Finding the numbers :

Since, the ratio after adding 15 is 1 : 2 (given)

So,

$\implies \: \dfrac{x + 15}{3x + 15} = \dfrac{1}{2}$

Solving for $x$ :

$\implies \dfrac{x + 15}{3x + 15} = \dfrac{1}{2}$

$\implies {2(x + 15)} = 3x + 15$

$\implies 2x + 30 = 3x + 15$

$\implies 3x - 2x = 30 - 15$

$\implies x = 15 \bf \:ans.$

Therefore the numbers are :

➪ $x = \green {15}$

➪ $3x = \green {45}$