Math, asked by Diamond1404, 1 year ago

Find the least number whin when divided by 20,30&40 leave a remainder of 7? Please show working steps

Answers

Answered by sivaprasath
1
Solution:

To find: the least number when divided by 20,30&40 leave remainder 7,.

we can find the number by finding LCM of these numbers(as when divided by them,will give the least number),and by adding 7 to the resulting number,.

LCM{20,30,40}=120,.

120+7=127

∴The least number when divided by 20,30& 40 which leave remainder 7 is 127. Hope it Helps.


sivaprasath: Mark as brainliest,.
sivaprasath: 127/20 leaves 7, 127/30 leaves 7,127/40 leaves remainder 7
Diamond1404: thank you
sivaprasath: bro,mark as brainliest(then,It would be a thanks that is given to me.If it really helped)
Answered by Don339
0
Sol)Let us see the relation between the pairs of numbers if there is any:
       20-7=13
       30-7=23
       40-7=33
       Let us add all these numbers 13+23+33=69
       Next find the LCM of 20,30,40:
       20=
2x2x5
       30=3x2x5
       40=
2x2x2x5
       So LCM =2x2x5x3x2x5x2x2x2x5
                     =24000.
       The deduct 69 from 24000 to get 23931,which the required number.
       Check: 23931/20=1,196.55+7R   
                   23931/30=797.7+7R
                   23931/40=598.275+7R .
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