Math, asked by curadhyaal, 1 year ago

two natural numbers whose sum is 85 and the lcm is 102 find the number

Answers

Answered by Golda

131

Solution:-
Prime factorization of 102 = 2 × 3 × 17
Prime factorization of 85 = 5 × 17 = (2 + 3) × 17
The two numbers are 2*17 = 34 and 3*17 = 51
Answer.

kvnmurty: a and b are the numbers. a and b are multiples of HCF. Hence, the sum is also a multiple of HCF. Also, LCM is a multiple of HCF. Find the common factor between LCM & the sum... So 17 is the HCF. Hence, product a*b = 17* 17* 3* 2. Then it is easy to form the numbers..

Answered by neemaseelanavas

Answer:

the answer is 51 and 34

Step-by-step explanation:

you first have to find the prime factor of 102 and 85

102=2x3x17

85=5x17

(3+2)x17

so we have

17x3=51

2x17=34

hence the answers are 51 and 34

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