apersonwhocantdomath
apersonwhocantdomath apersonwhocantdomath
  • 01-08-2021
  • Mathematics
contestada

The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers

Respuesta :

caylus
caylus caylus
  • 01-08-2021

Answer:

Hello,

Answer : 1400 and 1575

Step-by-step explanation:

Let's say a and b the ywo numbers

[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]

Answer Link

Otras preguntas

You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere thg will fit inside it? If you can will you
in an expression(8/9) squared (-81)+3/5dividedby-9/10
What is two thirds minus six thirds
Can u paraphrase the quote ”let things take their course”
When was William Shakespeare born
Does the depth of a pan affect how water freezes?
What is Sir Francis Drake hardships
How many minutes are in 36 hours?
A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are angled at
Solving systems by elimination: 2x + 4y = -4 3x + 5y = -3 Please show me your work so I can do the rest myself. Thanks!