Seudónimo Seudónimo
  • 04-06-2021
  • Mathematics
contestada

Which is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively?

Respuesta :

Awesomeness360
Awesomeness360 Awesomeness360
  • 05-06-2021

Answer:

Which is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively? 204.

Step-by-step explanation:

Have a great summer.

Ver imagen Awesomeness360
Answer Link
ItzTds
ItzTds ItzTds
  • 06-06-2021

Answer:

204 is the smallest number.

Step-by-step explanation:

28 - 8 = 20 and 32 - 12 = 20

The required number will be 20 less than the LCM of 28 and 32.

Prime factorization of 28,

→ 2 × 2 × 7

Prime factorization of 32,

→ 2 × 2 × 2 × 2 × 2

LCM(28, 32) = 2 x 2 x 2 x 2 x 2 x 7 = 224

Hence, the required smallest number,

→ 224 - 20 = 204

Answer Link

Otras preguntas

how many books did Harriet beecher stowe write?
how do u divide 16 by 3/5
if f(x)=|3x-4|+2, find f (-10)
Identify the turning point of the function f(x)=x^2-2x+8 by writing its equation in vertex form. Show work
How many heart chambers does a shark have?
how do u divide 16 by 3/5
The following statements about carbon dioxide are true EXCEPT a. It can be prepared by the action of acid on CaCO₃ b. It is used in fire extinguishers c. It d
What is the product of (x+1) and (2x^2+3x-1)?
A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y=-x^2+4x+6. What is the turning point of the rocket's
A ski jumper competing for an Olympic gold medal wants to jump a horizontal distance of 135 meters. The takeoff point of the ski jump is at a height of 25 meter