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

Identify the verbal phrase in the sentence and determine its type. The wallet found by the clerk belongs to my father.
Plz help me with this question
65 ÷ 5 × 2 - 7 how did you get the answer explain.
Kyle is making 9 birdhouses. He uses 8 nails for each birdhouse. If Kyle has a box of 100 nails, how many nails will he have left after he makes the birdhouses?
Which of these identifies the intersection of row 16 and column D A: the range D1 to D16 B: the range A16 to D16 C: the cell D16
Please someone help me
Which sentence contains a comma error?
he states have _____________ powers that are the Constitution does not grant to the national government, but does not deny to the states. A. delegated B. co
Thesis: Dog and cat owners should be required to have their pets examined once a year. A report based on this thesis statement will MOST LIKELY include which c
How did the nazi leaders get young people join the hitler youth?