Question

Q. .The ratio of present ages of pramod and Deepak is 3:4 after 8 years it will be 5:6.what is pramod's present age?



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Answer 1

Answer:

Pramod's Present age is 12 years.

Step-by-step explanation:

Let,

Present age of Pramod = 3x

Present age of Deepak = 4x

After 8 years,

Age of Pramod = 3x + 8

Age of Deepak = 4x + 8

Also,

Their ages ratio will be 5 : 6

So,

$\longrightarrow \: \dfrac{3x \: + \: 8}{4x \: + \: 8} \: = \: \dfrac{5}{6}$

$\longrightarrow$ 6 (3x + 8) = 5 (4x + 8)

$\longrightarrow$ 18x + 48 = 20x + 40

$\longrightarrow$ 48 - 40 = 20x - 18x

$\longrightarrow$ 8 = 2x

$\longrightarrow$ x = 8 / 2

$\longrightarrow$ x = 4

Present age of Pramod = 3x

$\longrightarrow$ 3 (4)

$\longrightarrow$ 12

Present age of Pramod = 12 years

∴ Pramod's Present age is 12 years.

Answer 2

Answer:

Given :-

• The ratio of present ages of Pramod and Deepak is 3 : 4.
• After 8 years it will be 5 : 6.

To Find :-

• What is the present age of Pramod.

Solution :-

Let,

$\dashrightarrow$ Present age of Pramad be 3x years

$\dashrightarrow$ Present age of Deepak be 4x years

After 8 years ago :

$\mapsto$ Age of Pramod be 3x + 8

$\mapsto$ Age of Deepak be 4x + 8

${\small{\bold{\purple{\underline{According\: to\: the\: question\: :-}}}}}$

$\implies \sf \dfrac{3x + 8}{4x + 8} =\: \dfrac{5}{6}$

By doing cross multiplication we get,

$\implies \sf 5(4x + 8) =\: 6(3x + 8)$

$\implies \sf 20x + 40 =\: 18x + 48$

$\implies \sf 20x - 18x =\: 48 - 40$

$\implies \sf 2x =\: 8$

$\implies \sf x =\: \dfrac{\cancel{8}}{\cancel{2}}$

$\implies \sf\bold{\green{x =\: 4\: years}}$

Hence, the required ages are :

$\longmapsto$ Present age of Pramod :

$\leadsto \sf 3x\: years$

$\leadsto \sf 3(4)\: years$

$\leadsto \bold{\red{12\: years}}$

And,

$\longmapsto$ Present age of Deepak :

$\leadsto \sf 4x\: years$

$\leadsto \sf 4(4)\: years$

$\leadsto \sf\bold{\red{16\: years}}$

$\therefore$ The present age of Pramod is 12 years.