Question

13. The product of two numbers is-16/35. if one of the numbers is - 15/14 the other is​

Answer 1

Answer:

other number is 32/75

Step-by-step explanation:

unknown number is x

x ×-15/14=-16/35

x= (-16/35)÷(-15/14)

x=32/75

Answer 2

☯GIVEN :

• Product = $\bf {\dfrac{-16}{35}}$

• One Rational Number = $\bf {\dfrac{-15}{14}}$

☯TO FIND :

• Other Rational Number.

➲SOLUTION :

Let the other rational number be x.

✞According to the question :

$\longmapsto\sf{One \: Number \times Other \: Number = \dfrac{ - 16}{35} }$

$\longmapsto\sf{ \dfrac{ - 15}{14} \times x = \dfrac{ - 16}{35} }$

$\longmapsto\sf{ \dfrac{ - 15x}{14} = \dfrac{ - 16}{35} }$

• By cross multiplication :

$\longmapsto{ \sf{ - 15x \times 35 = -16\times 14}}$

• Canceling negative sign on both sides :

$\longmapsto {\sf{\cancel{ -} 525x = \cancel{-}224}}$

$\longmapsto {\sf{525x = 224}}$

• Dividing both sides by 525 :

$\longmapsto {\sf{x =\dfrac{224}{525}}}$

• Dividing both numerator and denominator by 7 :

$\longmapsto {\sf{ x = \dfrac{ \cancel{224}}{ \cancel {525}}}}$

• After, dividing both numerator and denominator by 7:

$\longmapsto{ \underline{\huge{\boxed{ \purple{ \bf{ x = \dfrac{32}{75} }}}}}}$

$\huge {\green {\therefore }}$ Other Rational Number = $\bf{ \dfrac{ 32}{75}}$.