Question
The ratio of A’s age to B’s age is 2 : 3. If 6 years
are subtracted from each of their ages, the new ratio becomes 3 : 5. Find B'spresent age.Solution
Let A = 2k, B = 3k (A − 6) : (B − 6) = 3 : 5 (2k − 6)/(3k − 6) = 3/5 5(2k − 6) = 3(3k − 6) 10k − 30 = 9k − 18 10k − 9k = −18 + 30 = 12 k = 12 A = 2k = 24 years B = 3k = 36 years Answer: B = 36 years
? + (35)² = (130)² - (45)² - 2850
If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3  + y 3  + z 3  – 3xyz.
...If q = 105, then what is the value of
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
In a club of singers and dancers, 10% of the artists are absent on a particular day and 90% of the present artists are dancers. If 2,250 singers are pr...
Simplify the following expression:Â (8x - 6y - 5z)Â 2
Given a triangle with two sides measuring 12 cm and 16 cm, which of the following cannot be a possible length for the third side?
If x ≠0 and x − 1/x = 5, find:
(i) x² + 1/x²
(ii) x³ − 1/x³
(44² × 16²) ÷ (184.8 ÷ 8.4) =? × 64
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