Question

Write all the numbers that can be formed from 628 10 lines

Answer 1

Step-by-step explanation:

Five years hence Father's age will be three times his Daughter, five years ago Father was seven times as old as his Daughter. Find their Present Ages.

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\large \clubs \:  \bf Given :  -♣ Given: −

Five years hence Father's age will be three times his Daughter.

Five years ago Father was seven times as old as his Daughter.

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\large \clubs \:  \bf To \: Find :  -♣ ToFind: −

Their Present Ages.

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\large \clubs \:  \bf Solution :  -♣ Solution: −

Let,

Present Age of Father = x years

Present Age of Daughter = y years

《 5 Years Hence 》

Age of Father = (x + 5) years

Age of Daughter = (y + 5) years

✏ According To Question :

\begin{gathered} \red{\text{x + 5 = 3(y + 5)}} \\ \end{gathered}x + 5 = 3(y + 5)

\begin{gathered}:\longmapsto\text{x + 5 = 3y + 15} \\ \end{gathered}:⟼x + 5 = 3y + 15

\begin{gathered}:\longmapsto\text x = 15 - 5 +3\text y\\ \end{gathered}:⟼x=15−5+3y

:\longmapsto \bf x =3\text y+10\: - - - (1):⟼x=3y+10−−−(1)

《 5 Years Ago 》

Age of Father = (x - 5) years

Age of Daughter = (y - 5) years

✏ According To Question :

\begin{gathered} \red{ \text{x} - 5 = 7(\text y - 5)} \\ \end{gathered}x−5=7(y−5)

\begin{gathered}:\longmapsto\text x - 5= 7\text y - 35 \\ \end{gathered}:⟼x−5=7y−35

\begin{gathered}:\longmapsto\text x - 7\text y = - 35 + 5 \\ \end{gathered}:⟼x−7y=−35+5

\bf:\longmapsto x - 7y = - 30 \: - - - (2):⟼x−7y=−30−−−(2)

✏ Putting (1) in (2) :

\begin{gathered}3\text y + 10 - 7\text y = - 30 \\ \end{gathered}3y+10−7y=−30

\begin{gathered}:\longmapsto \cancel- 4\text y = \cancel- 40 \\ \end{gathered}:⟼−4y=−40

\begin{gathered}:\longmapsto\text y = \cancel\dfrac{40}{4} \\ \end{gathered}:⟼y=440

\purple{ \Large :\longmapsto  \underline {\boxed{{\bf y = 10} }}}:⟼  y=10

Putting Value of y in (1) :

\begin{gathered}:\longmapsto\text x = 3 \times 10 + 10 \\ \end{gathered}:⟼x=3×10+10

\begin{gathered}:\longmapsto\text x = 30 + 10 \\ \end{gathered}:⟼x=30+10

\purple{ \Large :\longmapsto  \underline {\boxed{{\bf x = 40} }}}:⟼ x=40

Hence,