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

Forget the motor When im on the boat Think of the best time To buy a new coat What am I......?
Factor the expression. If the expression cannot be factored, say so.
A blue rope is 3 times the length as a red rope. A green rope is 5 times as log as the blue rope of the total length of all 3 ropes equals 508.25m what is the l
Forget the motor When im on the boat Think of the best time To buy a new coat What am I......?
What's 5 divided by x squared explain
Does an owl have a backbone?
Factor the expression. If the expression cannot be factored, say so.
Thelma spent 1/6 of her weekly allowance on dog toys.  1/4 on a dog collar and 1/3 on dog food.  What fraction of her weekly allowance is left
A blue rope is 3 times the length as a red rope. A green rope is 5 times as log as the blue rope of the total length of all 3 ropes equals 508.25m what is the l
Does an owl have a backbone?