The sum of half a number and a third of the same number is 15, find the number

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16-03-2020
Mathematics

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The sum of half a number and a third of the same number is 15, find the number

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Officialalehpeter Officialalehpeter · Answer 1 · 2020-03-16T12:03:50+01:00

Officialalehpeter Officialalehpeter

16-03-2020

Answer:

18

Step-by-step explanation:

Let the unknown number be a

Half of the unknown number means 1/2 ×a=a/2

A third of the unknown number be 1/3 ×a=a/3

Then the sum of the two is 15

Which means

a/2+a/3=15

Let the LCM be 6

It will give 3a+2a/6=15

To solve further we will have to cross multiply

3a+2a=6×15

5a=90

Make a the subject of formula by dividing both sides by 5

a=18

Therefore the unknown number is 18

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tolaosunrinde tolaosunrinde · Answer 2 · 2020-03-16T12:08:42+01:00

tolaosunrinde tolaosunrinde

16-03-2020

Answer: 18

Step-by-step explanation:

Let the number be represented as a

From the question, half of a = 1/2a, while a third of = 1/3a

1/2a + 1/3a = 15

5/6a = 15

Cross multiply

5a = 15 × 6 = 90

Divide both sides by 5

a = 90/5

a = 18

Check:

If a = 18, 1/2 of a = 9

And 1/3 of a = 6

Sum of 1/2a + 1/3 a = 9 + 6 = 15

I hope this helps.

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