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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Answered by
17
Answer:
hi
Step-by-step explanation:
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}⟶
4x+8
3x+8
=
6
5
\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
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