Question

heyy dear friends plz ans all the Que. in the pic.​

Answer 1

Solution 6 :

Given :

• Age of Hari and Harry are in ratio 5:7.
• Four years from now, the ratio of the ages will be 3:4.

To Find :

• Present age of Hari
• Present age of Harry

Solution :

Let x be the common value of the ratio 5:7.

•°• Hari's age = 5x

Harry's age = 7x

Case 1 :

Four years later from now, the ratio of the age will become 3:4.

Age of Hari after 4 years, (5x+4) years.

Age of Harry after 4 years, (7x+4) years.

Equation :

$\longrightarrow$ $\sf{\dfrac{5x+4}{7x+4}\:=\:\dfrac{3}{4}}$

$\longrightarrow$ $\sf{4(5x+4)=3(7x+4)}$

$\longrightarrow$ $\sf{20x+16=21x+12}$

$\longrightarrow$ $\sf{20x-21x=12-16}$

$\longrightarrow$ $\sf{-x=-4}$

$\longrightarrow$ $\sf{x=4}$

Substitute, x = 4 in the age value of Hari and Harry.

$\large{\boxed{\bold{Present\:age\:of\:Hari\:=\:5x\:=\:5(4)\:=\:20\:years}}}$

$\large{\boxed{\bold{Present\:age\:of\:Harry\:=\:7(4)\:=\:28\:years}}}$

Solution 7:

Given :

• The denominator of a rational number is greater than numerator by 8.
• If, numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2.

To Find :

• The Rational Number.

Solution :

Let the numerator be x.

Let the denominator be y.

Rational Number = $\sf{\dfrac{x}{y}}$

Case 1 :

The denominator is greater than numerator by 8.

Equation :

$\sf{y=x+8\:\:\:(1)}$

Case 2 :

The numerator when increased by 17 and the denominator when decreased by 1, the number becomes 3/2.

Numerator = (x+17)

Denominator = (y-1)

Equation :

$\longrightarrow$ $\sf{\dfrac{x+17}{y-1}\:=\:\dfrac{3}{2}}$

$\longrightarrow$ $\sf{2(x+17)=3(y-1)}$

$\longrightarrow$ $\sf{2x+34=3y-3}$

$\longrightarrow$ $\sf{2x-3y=-3-34}$

$\longrightarrow$ $\sf{2x-3y=-37}$

$\longrightarrow$ $\sf{2x-3(x+8)=-37}$

$\longrightarrow$ $\sf{2x-3x-24=-37}$

$\longrightarrow$ $\sf{-x=-37+24}$

$\longrightarrow$ $\sf{-x=-13}$

$\longrightarrow$ $\sf{x=13}$

Substitute, x = 13 in equation (1),

$\longrightarrow$ $\sf{y=x+8}$

$\longrightarrow$ $\sf{y=13+8}$

$\longrightarrow$ $\sf{y=21}$

$\large{\boxed{\bold{Numerator\:=\:x\:=\:13}}}$

$\large{\boxed{\bold{Denominator\:=\:y\:=\:21}}}$

$\large{\boxed{\bold{Rational\:Number\:=\:\dfrac{x}{y}\:=\:\dfrac{13}{21}}}}$

Solution 1 :

Given :

• $\sf{\dfrac{8x-3}{3x}\:=\:2}$

To Find :

• Value of x

Solution :

$\longrightarrow$ $\sf{\dfrac{8x-3}{3x}\:=\:2}$

$\longrightarrow$ $\sf{8x-3=3x(2)}$

$\longrightarrow$ $\sf{8x-3=6x}$

$\longrightarrow$ $\sf{8x-6x=3}$

$\longrightarrow$ $\sf{2x=3}$

$\longrightarrow$ $\sf{x=\dfrac{3}{2}}$

$\large{\boxed{\bold{Value\:of\:x\:=\:\dfrac{3}{2}}}}$

Solution 2 :

Given :

• $\sf{\dfrac{9x}{7-6x}\:=\:15}$

To Find :

• Value of x.

Solution :

$\longrightarrow$ $\sf{\dfrac{9x}{7-6x}\:=\:15}$

$\longrightarrow$ $\sf{15(7-6x) =9x}$

$\longrightarrow$ $\sf{105-90x=9x}$

$\longrightarrow$ $\sf{105=9x+90x}$

$\longrightarrow$ $\sf{105=99x}$

$\longrightarrow$ $\sf{\dfrac{105}{99}=x}$

$\large{\boxed{\bold{Value\:of\:x\:=\:\dfrac{105}{99}}}}$

Solution 3 :

Given :

• $\sf{\dfrac{z}{z+15}\:=\:\dfrac{4}{9}}$

To Find :

• Value of z.

Solution :

$\longrightarrow$ $\sf{\dfrac{z}{z+15}\:=\:\dfrac{4}{9}}$

$\longrightarrow$ $\sf{9z=4(z+15)}$

$\longrightarrow$ $\sf{9z=4z+60}$

$\longrightarrow$ $\sf{9z-4z=60}$

$\longrightarrow$ $\sf{5z=60}$

$\longrightarrow$ $\sf{z=\dfrac{60}{5}}$

$\longrightarrow$ $\sf{z=12}$

$\large{\boxed{\bold{Value\:of\:z\:=\:12}}}$

Solution 4 :

Given :

• $\sf{\dfrac{3y+4}{2-6y}\:=\:\dfrac{-2}{5}}$

To Find :

• Value of y.

Solution :

$\longrightarrow$ $\sf{\dfrac{3y+4}{2-6y}\:=\:\dfrac{-2}{5}}$

$\longrightarrow$ $\sf{5(3y+4)=-2(2-6y) }$

$\longrightarrow$ $\sf{15y+20=-4+12y}$

$\longrightarrow$ $\sf{15y-12y=-4-20}$

$\longrightarrow$ $\sf{3y=-24}$

$\longrightarrow$ $\sf{y=\dfrac{-24}{3}}$

$\longrightarrow$ $\sf{y=-8}$

Solution 5 :

Given :

• $\sf{\dfrac{7y+4}{y+2}\:=\:\dfrac{-4}{3}}$

To Find :

• Value of y.

Solution :

$\longrightarrow$ $\sf{\dfrac{7y+4}{y+2}\:=\:\dfrac{-4}{3}}$

$\longrightarrow$ $\sf{3(7y+4)=-4(y+2)}$

$\longrightarrow$ $\sf{21y+12=-4y-8}$

$\longrightarrow$ $\sf{21y+4y=-8-12}$

$\longrightarrow$ $\sf{25y=-20}$

$\longrightarrow$ $\sf{y=\dfrac{-20}{25}}$

$\longrightarrow$ $\sf{y=\dfrac{-4}{5}}$

Answer 2

Answer:

Here is your answer dear. Please mark brainliest.

Thanks

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