Two numbers are in the ratio 3:5. When 8 is added to each, the ratio changes
to 5: 7. Identify the two numbers.
Answers
Answer:
x =4
Step-by-step explanation:
the according to your question or two numbers are in the ratio 3 is to 5 so first let the number be 3x and 5x then add 8 to it .... it will come like 3x +8 /5x+8=5/7 now do the cross multiplication process and X will come 4 which is your answer
Given:
✰ Two numbers are in the ratio 3:5.
✰ When 8 is added to each, the ratio changes
to 5: 7.
To find:
✠ The two numbers.
Solution:
Let's understand the concept first! Two numbers are in ratio 3:5. So first we will assume that the two numbers are 3x and 5x respectively. After that we know when 8 is added to each, that means we will sum up the respective numbers with 8 and then the ratio becomes 5:7. Thus forming and adequate equation and doing the required calculations, we will find out the value of x and after that we will substitute the value of x in the numbers we have assumed to find out both the numbers.
➞ Let the first number be 3x
➞ Let the second number be 5x
After adding 8 :
➞ The first number = 3x + 8
➞ The second number = 5x + 8
According to the Question
⠀⠀⟼⠀⠀3x + 8/5x + 8 = 5/7
⠀⠀⟼⠀⠀7(3x + 8) = 5(5x + 8)
⠀⠀⟼⠀⠀21x + 56 = 25x + 40
⠀⠀⟼⠀⠀56 - 40 = 25x - 21x
⠀⠀⟼⠀⠀16 = 25x - 21x
⠀⠀⟼⠀⠀16 = 4x
⠀⠀⟼⠀⠀16/4 = x
⠀⠀⟼⠀⠀4 = x
Now, find out both the number by substituting the value of x in the numbers we have assumed
➥ First Number = 3x
➥ First Number = 3 × 4
➥ First Number = 12
⠀
➥ Second Number = 5x
➥ Second Number = 5 × 4
➥ Second Number = 20
Therefore, the two numbers are 12 and 20 respectively.
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