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The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.

Now: In 12 years:A:B A:B1:2x:2x x+12:2x+12 = 3:5 x+12 = 2x+12 3 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24 A:B Adam = 24, Bob = 48x:2x24:2(24)24:48
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Answered by Aaron S. • Maths tutor
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Simplify: 2x + 6y + 2y - x

Step 1) Rearrange the equation as follows: (2x - x) + (6y + 2y) this makes it easier to see which values you can add together.Step 2) Solve the calculation in each bracket: x + 8y. Successfully simplifying t...
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Answered by Benjamin L. • Maths tutor
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Factorise x^2 + 8x + 12 (2017 non-calculator paper)

This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression through ...
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Answered by Ella M. • Maths tutor
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Solve the simultaneous equations x + y = 3 and x^2 + y^2 = 5

Find an expression for y y = 3 - x sub this into the second equation x^2 + (3 - x)^2 = 5 then expand the brackets x^2 + x^2 - 6x + 9 = 5 simplify 2(x^2 - 3x + 2) = 0 factorise 2(x - 2)(x - 1) = 0 so x = 2, 1...
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Answered by Kate W. • Maths tutor
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In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

£29.40 represents 4/5 of xThus to find x, we must multiply 29.40 by 5/4: 29.40/4 = 7.35 (this is 1/5) 7.35 x 5 = 36.75 (this is 5/5, the original price) Original price = £36.75
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Answered by Robert W. • Maths tutor
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