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2 months ago

Two numbers, both greater than 23, have HCF 23 and LCM 644. The sum of the numbers is:

Mathematics

1 answer:

lawyer [12.5K]2 months ago

7 0

Answer: 253

Step-by-step explanation:

We begin with two numbers, A and B.

Every number can be expressed as the product of prime factors.

The HCF of A and B is 23.

Thus, we can express them as:

A = 23*a

B = 23*b

(it's important to note that 23 is prime)

Where a and b must both be greater than 1.

We also know that their least common multiple is 644.

It should be pointed out that the prime factors of a cannot overlap with those of b, as that would mean the HCF wouldn't remain 23.

To solve for a and b, we calculate:

644/23 = 28.

This implies that a*b = 28.

Next, we can write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

This allows us to define:

a = 2*2

b = 7.

Consequently, our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

Adding them, A + B = 92 + 161 = 253

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Answer:

Step-by-step explanation:

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1 month ago

SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the num

PIT_PIT [12445]

Given :

Miki possesses 104 nickels and 88 dimes. She intends to sort her coins into sets where each set has an equal count of both nickels and dimes.

Last year, 216,000 cars were sold.

To Find :

An equation that can identify the number of trucks, t, sold the previous year.

Solution :

Let t represent the quantity of trucks sold and c represent the cars sold.

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