Question

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Answer 1

QUESTION :

If the product if two numbers is 16/5 and one of the number is 8/5, then what will be the sum of the numbers ?

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Sum\:of\:number=3\frac{3}{5}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Product \: of \: two \: numbers = 3\frac{1}{5} \\ \\ \tt: \implies One \: number = 1\frac{3}{5} \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Sum \: of \: numbers =?$

• According to given question :

$\circ \: \text{Let \: other \: number \: be \: x } \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies 1\frac{3}{5} \times x = 3\frac{1}{5} \\ \\ \tt: \implies \frac{8}{5} \times x = \frac{16}{5} \\ \\ \tt: \implies x = \frac{16}{5} \times \frac{5}{8} \\ \\ \green{\tt: \implies x = 2} \\ \\ \bold{For \: Sum \: of\: numbers} \\ \tt: \implies Sum = \frac{8}{5} + 2 \\ \\ \tt: \implies Sum = \frac{8 + 10}{5} \\ \\ \tt: \implies Sum = \frac{18}{5} \\ \\ \green{\tt: \implies Sum = 3\frac{3}{5} }$

Answer 2

QueStI0N -

If the product of two numbers is 3 (1 / 5 ) and one of the numbers is 1 ( 3 / 5 ), than what will be the sum of the numbers ?

S0LUTI0N -

Let us assume that there exists two arbitrary numbers such that -

• The product of the two numbers is ( 16 / 5 )

Now,

We have the following information -

One of the numbers is 8 / 5.

So,

If x = ( 8 / 5 )

=> x × y = ( 16 / 5 )

=> ( 8 / 5 ) × y = ( 16 / 5 )

=> y = ( 16 / 5 ) ÷ ( 8 / 5 )

=> y = ( 16 / 5 ) × ( 5 / 8 )

=> y = ( 16 / 8 ) × ( 5 / 5 )

=> y = 2 × 1

=> y = 2 ..

Hence , we have obtained a pair of numbers such that their values fit into the conditions above .

The two required numbers are ( 8 / 5 ) and 2 respectively .

Sum Of The Numbers -

=> ( 8 / 5 ) + 2

=> ( 18 / 5 )

Answer -

Hence the required sum of the numbers is ( 18 / 5 ).

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