Bennie is 7 years older than Ayesha - OCR - GCSE Maths - Question 5 - 2019 - Paper 4

According to the problem, the sum of their ages is 57. Hence, we can write:

$A + B + C = 57$

Substituting in the expressions for B and C:

$A + (A + 7) + 2(A + 7) = 57$

Combining like terms, we have:

$A + A + 7 + 2A + 14 = 57$

This simplifies to:

$4A + 21 = 57$

Now, isolate A:

$4A = 57 - 21$

$4A = 36$

Dividing by 4 gives:

$A = 9$

Thus, Ayesha's age is 9 years.

Using the expression for Bennie's age, we find:

$B = A + 7 = 9 + 7 = 16$

Therefore, Bennie's age is 16 years.

Finally, using the expression for Chloe's age:

$C = 2B = 2(16) = 32$

Thus, Chloe's age is 32 years.