Bennie is 7 years older than Ayesha - OCR - GCSE Maths - Question 25 - 2019 - Paper 1

According to the information provided, the sum of their ages is 57: $A + B + C = 57$ Substituting for B and C, we get: $A + (A + 7) + 2(A + 7) = 57$

Now, simplify the equation: $A + (A + 7) + 2(A + 7) = 57$ This simplifies to: $A + A + 7 + 2A + 14 = 57$ Combining like terms: $4A + 21 = 57$ Now, subtract 21 from both sides: $4A = 36$ Dividing both sides by 4 gives: $A = 9$

Now that we have Ayesha's age: $A = 9$, we can find Bennie's age: $B = A + 7 = 9 + 7 = 16$

Finally, we can find Chloe's age: $C = 2B = 2 imes 16 = 32$

In conclusion:

• Ayesha's age is 9.
• Bennie's age is 16.
• Chloe's age is 32.