Question

Half of a number when added to 5/4 gives 15/4,find the number.

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

Half of a number when added to 5/4 gives 15/4,find the number.

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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Let us assume the number be 'x'

In Question say half of a number then x/2

=>when it added to 5/4 =>x/2+5/4

=>when it added to 5/4 gives 15/4 =>x/2+5/4=15/4

Now, According to Question let's solve:-

$= > \frac{x}{2} + \frac{5}{4} = \frac{15}{4}$

L.C.M OF 2&4 IS 4

$= > \frac{2x + 5}{4} = \frac{15}{4}$

Here ,we notice that 4 is on both side it gets cancelled.

$= > 2x + 5 = 15$

$= > 2x = 15 - 5$

$= > 2x = 10$

$\bold{\red{= > x = 5}}$

Hence, the number is x/2 is $\bold{\red{5/2}}$

Now,let's check

$= > \frac{5}{2} + \frac{5}{4} = \frac{10 + 5}{4} = \frac{15}{4}$

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