Question

Two numbers are in the ratio of 3 : 5. If 8 is added
to each number, the ratio becomes 2 : 3. Find the
numbers.
(ICSE 2001)
If a:b= 5: 3. find (5a +85) : (60-75)​

Answer 1

Step-by-step explanation:

let the numbers = 3x and 5y

when 8 is added

3x+8, 5y+8......(1)

let the numbers after adding 8=2x,3y......(2)

adding them

3x+8+5y+8=3x+5y+16

2x+3y=2x+3y

x=-3y/2

-9y/2+5y=-16

-9y+10y/2=-16

y=32

x=48