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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+123 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24
A:B Adam = 24, Bob = 48x:2x24:2(24)24:48

Answered by Aaron S. • Maths tutor

4345 Views

Find the binomial expansion of (-8+4x)^(2/3) up to and including the term in x^2.

The formula booklet is useful for this type of question, but only once we've rearranged the expression into the correct form. The formula booklet expression is: (1 + z)^n = 1 + nz + 0.5n*(n-1)

Answered by David M. • Maths tutor

3844 Views

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 simplifyin...

Answered by Benjamin L. • Maths tutor

3219 Views

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 throu...

Answered by Ella M. • Maths tutor

3437 Views

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<...

Answered by Kate W. • Maths tutor

14567 Views