The prices of two ratios are in the ratio x:y
When the prices are both increased by £20 the ratio becomes 5:2
When the prices are both reduced by £5 the ratio becomes 5:1
Express the ratio x:y in its lowest terms

x:y = 2:5

Step-by-step explanation:
Given : The prices of two radios are in the ratio x:y
When the prices are both increased by £20, the ratio becomes 5:2
Then,
When the prices are both reduced by £5, the ratio becomes 5:1
Then,
Subtract (2) from (1), we get

Put this value in (2), we get

Now, the ratio of x:y=
Dividing 4 from both the numerator and denominator, we get
x:y= =2:5

Credit: JeanaShupp