1) Raman had 30 flowers. He offered some flowers in a temple and found that the ratio of the remaining flowers to that flowers in the beginning is2:5. Find the no.of flowers offered by him in the temple. 2) Divide 243 into 3 parts such that half of the 1st part, one third of the 2nd part and one fourth of the 3rd part are all equal. 3) A number is 6 more than the average of, its half ,its one-third and its one sixth. Find the numbers.
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Let the equal part be x
So,
Half of first part =x
1st part =2x
1/3rd of second part =x
2nd part =3x
1/4th of 3rd part =x
3rd part =4x
Now,
2x+3x+4x=243
9x=243
X=243/9
X=27
1st part=2×27=54
2nd part =3×27=81
3rd part=4×27=108
Let the equal part be x
So,
Half of first part =x
1st part =2x
1/3rd of second part =x
2nd part =3x
1/4th of 3rd part =x
3rd part =4x
Now,
2x+3x+4x=243
9x=243
X=243/9
X=27
1st part=2×27=54
2nd part =3×27=81
3rd part=4×27=108
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