.On 1st March 2001, the ratio of Freddie’s age to his mother’s age was 1:11 On 1st March 2018, the ratio of Freddie’s age to his mother’s age was 2:5
Write the ratio of Freddie’s age to his mother’s age on 1st March 2030

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  

2018:=

Required

The ratio of their age in 2030

Express as fractions

--- (1)

-- (2)

In (1), make y the subject

Substitute in (2)

Cross Multiply

Collect like terms

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

Divide by 2

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