Question

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Answer 1

x=1, y=1

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Answer 2

Step-by-step explanation:

Given :

Present Ages of Ram and Sham are in the ratio 2:3 .

After 5 years the ratio of their ages will be 3:4 .

To Find :

Present Age of Ram and Sham .

Solution :

\longmapsto\tt{Let\:Age\:of\:Ram\:be=2x}⟼LetAgeofRambe=2x

\longmapsto\tt{Let\:Age\:of\:Sham\:be=3x}⟼LetAgeofShambe=3x

After 5 years :

\longmapsto\tt{Age\:of\:Ram=2x+5}⟼AgeofRam=2x+5

\longmapsto\tt{Age\:of\:Sham=3x+5}⟼AgeofSham=3x+5

A.T.Q :

\longmapsto\tt{\dfrac{2x+5}{3x+5}=\dfrac{3}{4}}⟼

3x+5

2x+5

=

4

3

\longmapsto\tt{4(2x+5)=3(3x+5)}⟼4(2x+5)=3(3x+5)

\longmapsto\tt{8x+20=9x+15}⟼8x+20=9x+15

\longmapsto\tt{8x-9x=15-20}⟼8x−9x=15−20

\longmapsto\tt{-x=-5}⟼−x=−5

\longmapsto\tt\bf{x=5}⟼x=5

Value of x is 5 .

Therefore :

\longmapsto\tt{Present\:Age\:of\:Ram=2(5)}⟼PresentAgeofRam=2(5)

\longmapsto\tt\bf{10\:yrs}⟼10yrs

\longmapsto\tt{Present\:Age\:of\:Sham=3(5)}⟼PresentAgeofSham=3(5)

\longmapsto\tt\bf{15\:yrs}⟼15yrs