One-third of the sum of two numbers is 12, twice their di...
One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.
22 and 14
20 and 16
21 and 15
23 and 13
Correct answer is C
Let the two numbers be x and y
\(\frac{1}{3}( x + y) = 12\)
then x + y = 36 ..........i
2( x - y) = 12
x - y = 6 ............ii
add equations i and ii
2x = 42
x = 21, put x = 21 into equation i
x + y = 36
21 + y = 36
y = 36 - 21 = 15
therefore the numbers are 21 and 15
Factorize the expression 2y\(^2\) + xy - 3x\(^2\)...
In the diagram, |PQ| = |PS| Which of the following statements is true? ...
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)...
Given that p\(\frac{1}{3}\) = \(\frac{3\sqrt{q}}{r}\), make q the subject of the equation...
Find the range of values of x for which\(\frac{x+2}{4}-\frac{x+1}{3}>\frac{1}{2}\)...
Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\) ...
Solve for the equation \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0...
A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord ...