At present Ali's present age is 1/4th of its father's age.After 10 years their ages will add to 60 years. What is Ali's present age?
Answers
Step-by-step explanation:
Given:
Present age of Ali is ¼th the age of his father.
After 10 years, Sum of their ages is 60 years.
To find:
Present age of Ali?
Solution:
☯ Let's consider the Present age of Ali be x years.
Then, the Present age of Ali will be 4x years.
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━★Accordingtothequestion:
Sum of age of Ali and his father after 10 years will be 60 years.
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Their ages after 10 years,
Age of Ali = (x + 10) years
Age of Ali's father = (4x + 10) years
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Therefore,
\begin{gathered}:\implies\sf (x + 10) + (4x + 10) = 60\\ \\\end{gathered}:⟹(x+10)+(4x+10)=60
\begin{gathered}:\implies\sf 5x + 20 = 60\\ \\\end{gathered}:⟹5x+20=60
\begin{gathered}:\implies\sf 5x = 60 - 20\\ \\\end{gathered}:⟹5x=60−20
\begin{gathered}:\implies\sf 5x = 40\\ \\\end{gathered}:⟹5x=40
\begin{gathered}:\implies\sf x = \cancel{ \dfrac{40}{5}}\\ \\\end{gathered}:⟹x=540
\begin{gathered}:\implies{\underline{\boxed{\frak{\purple{x = 8}}}}}\;\bigstar\\ \\\end{gathered}:⟹x=8★
Present age of Ali, x = 8 years
Present age of Ali's father, 4x = 32 years
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\therefore\:{\underline{\sf{Present\:age\:of\:Ali\:is\:{\textsf{\textbf{8\:years}}}.}}}∴PresentageofAliis8years.
Given :
Present age of ali is 1/4th of his father's age.
Sum of ages of ali and his father after 10 years is 60.
To Find :
Present age of ali.
Solution :
Let present of ali be x years.
We are given that, present age of ali is 1/4th of his father's age.
Therefore present age of father will be 4x.
After 10 years,
Age of ali will be (x + 10) years
Age of father will be (4x + 10) years
As pr given data, sum of ages of ali and his father 10 hears is 60.
So we can say that,
➙ (x + 10) + (4x + 10) = 60
➙ (x + 4x) + (10 +10) = 60
➙ 5x + 20 = 60
➙ 5x = 60 - 20
➙ 5x = 40
➙ x = 40/5
➙ x = 8