the LCM of two numbers is 63 times their their HCF if one of the number is 35 and the sum of HCF and LCM is 320 then the sum of two number is
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Answered by
1
Answer:
315
Step-by-step explanation: let LCM of two no. be x and HCF be y .
given, x = 63 y , x + y = 320 and one of the no. is 35
SOLN: 63y +y =320 = 64y , y= 320÷ 64 = 5 .
and since x + y =320
x =320- 5 =315.
Answered by
5
Step-by-step explanation:
Given The LCM of two numbers is 63 times their their HCF if one of the number is 35 and the sum of HCF and LCM is 320 then the sum of two number is
- According to question
- LCM = 63 hcf
- Lcm + hcf = 320
- 63 hcf + hcf = 320
- 64 hcf = 320
- So hcf = 320 / 64
- So hcf = 5
- Now Lcm = 63 x 5
- So Lcm = 315
- We know that
- First number x second number = Lcm x hcf
- 35 x second number = 315 x 5
- So second number = 315 x 5 / 35
- = 45
Therefore sum of these two numbers will be 35 + 45 = 80
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