Question
Two numbers are in the ratio 5:3. After adding 3 and 5
to them respectively the ratio becomes 2:3. Find the bigger number.Solution
Let the two number’s be 5x and 3x. According to the question, => (5x+3)/(3x+5) = 2/3 => 15x + 9 = 6x + 10 => x = 1/9 So, the bigger number will be, => 5x = 5 × (1/9) = 5/9
If x − 1/x = 4, find x² + 1/x²
Solve for x:
2(x + 1) × 4(x − 2) = 32
Simplify:
(√5 + √2)/(√5 − √2) + (√5 − √2)/(√5 + √2)
If 100.9 = 12 and ( 0.1)x = 120, then what is the value of x.
Find the remainder when 3⁶⁵ is divided by 8.
54 × 70 × 33 × 42 =
If (6000) 5 = 7.776
If (9000) 5 = 59.049
Evaluate:
[1 / (3 + √5)] + [1 / (3 − √5)]
If 100.13 = 14 and ( 0.1)x = 140, then what is the value of x.