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[A] 2x + y = 18[B] x - y = 6Rearrange [A] to make y the subject 2x + y = 18minus 2x| y = 18 - 2xReplace the value y in [B] with the rear...

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. Fro...

Difference between each number is +2Therefore the sequence is 2n + C
When n = 1 the value is (2x1) + C = 2 + C = 5C = 36
nth term is 2n + 3
CHECK
3rd term should be...

 3 x² + 6 x + 3 = 0 . .../3 x² + 2 x + 1 = 0(x+1)²=0x+1=0x=-1PROOF3 (-1)² + 6 (-1) + 3 = 0

Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper...