Question

Three numbers P, Q and R are in the ratio 3: 4:5. If 15 is subtracted from P,5 is added to Q and 10 is added
to R, the ratio between the new numbers becomes 1 : 3:4 respectively. What is the vahie of Q?
O 30
8893776220
1180
Clear Response
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Answer 1

Please find the attachment

Answer 2

Answer:

Value of Q is 40

Step-by-step explanation:

Given;

Ratio of P,Q,R are 3:4:5

Let P= 3x,Q= 4x and R= 5x

When 15 is subtracted from P,⇒3x-15

When 5 is added toQ⇒ 4x+5

When 10 is added to R⇒ 5x+10

New ratio of P,Q,R is 1:3:4

Or we can write it as,

3x-15 : 4x+5 : 5x+10 = 1 :3 :4

⇒(3x-15) /(4x+5) = 1/3

3(3x-15)=1 (4x+5)

9x-45= 4x+5

9x-4x=5+45

    5x=50

x=50/5

x=10

Value of Q=4x= 4×10 =40