Question
The combined total of two numbers is 105. Their LCM and HCF
are 315 and 5 respectively. What is the smaller number?Solution
ATQ,
Let the smaller number = ‘x’
Greater number = (105 – x)
Product of numbers = LCM × HCF
Or, x(105 – x) = 5 × 315
Or, 105x – x² = 1575
Or, x² – 105x + 1575 = 0
Or, x² – 60x – 45x + 1575 = 0
Or, x(x – 60) – 45(x – 60) = 0
Or, (x – 60)(x – 45) = 0
So, smaller number = 45
Find the average of first 17 whole numbers.
Aman is forming pairs of two natural numbers, A and B, such that their product equals 350. He wants to determine how many such pairs exist where A and B...
- A student was supposed to multiply a number by 0.84 but instead multiplied it by 8.4. Due to this, his result exceeded the correct result by 3360. Find the...
When the sum of the squares of two positive integers is given as 1,600, and their product is given as 768. Determine the value of the smaller integer.
À two-digit number decreases by 18 when its both digits are written in reverse order. If unit digit of original number is equal to the unit digit of 22...
When the digits of a two-digit number are interchanged, the new number becomes 24 more than 180% of the original number. If the sum of the digits is 6, ...
Find remainder when 7103 is divided by 100.
The product of two positive numbers is 432. If one number is three times the other, find the difference between the two numbers.
A, B and C hired a taxi for Rs. 880 and used it for 2, 4, 5 hours respectively. Hiring charges paid by B are:
