The lcm of two numbers is 1260 and their difference is 54 what is the sum of two numbers
Answers
The sum of the two numbers is 88
Explanation:
The question is
The lcm of two numbers is 1260 and their difference is 52 what is the sum of two numbers
Given data :
Lcm of two numbers = 1260
Difference of the two number = 52
What is the sum of the two number
The prime factors of 1260 are 2, 2, 3, 3, 5, 7
1260 = 2 × 2 × 3 × 3 × 5 × 7
The possibilities to get 1260 from the above mentioned prime factors are
1260 = 20 × 63
1260 = 21 × 60
1260 = 12 × 105
1260 = 35 × 36
1260 = 42 × 30
1260 = 9 × 140
1260 = 90 ×14
1260 = 18 × 70
1260 = 210 × 6
1260 = 2 × 630
From the above possibilities, the relation which satisfy the the given condition is 1260 = 18 × 70, where the difference between 18 and 70 is 52.
The sum of the two numbers = 18 + 70
= 88
Therefore, the sum of the two numbers 18 and 70 is 88 and their difference is 52 and LCM of 18 and 70 is 1260
To Learn More ...
1) THE SUM OF LCM AND HCF OF TWO NUMBERS IS 1260 AND THEIR LCM IS 900 MORE THAN HCF,FIND THE PRODUCT OF TWO NUMBERS?
https://brainly.in/question/733577
2) A and b are square numbers; the LCM of a and 140 is 560 the LCM of b and 140 is 700. find the lcm of a and b
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Answer:360
Explanation: