Question

The present age of Sumit's mother is four times the present age of Sumit. After
5 years, the sum of their ages will be
60 years. Find their present ages.​

Answer 1

Answer:

40

Explanation:

sumit's mother age is 4x then =4×10=40

Answer 2

Appropriate Question :

The present age of Sumit's mother is four times the present age of Sumit. After 5 years, the sum of their ages will be 60 years. Find their present ages.

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Given :

• Present age of Sumit's mother is four times the present age of Sumit .

• After five years , the sum of their ages will be 60 yrs .

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To find :

• Present age of Sumit and his mother .

Concept :

In this question we are provided with the relation between the Sumit and his mother's age . Assuming Sumit's age to be any variable we will get the age of Sumit's mother . Then after following the second criteria given to us i.e., ‎ after five years , the sum of their ages will be 60 yrs , we would frame up an appropriate equation . Solving the equation we will get our final answers .

Hope am clear let's solve :D~

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Assumption :

Let the present age of Sumit be x yrs .

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Solution :

Present age of Sumit = x yrs

Present age of Sumit's mother = Four times the present age of Sumit

Present age of Sumit's mother = 4x yrs

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After five years ‎ :

Sumit's age = ( x+5 ) yrs

Sumit's mother age = ( 4x+5 ) yrs

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According to the question :

After five years , the sum of their ages will be 60 yrs .

$\tt\:x+5+(4x+5)=60$

$\tt\implies\:x+5+4x+5=60$

Arranging the terms

$\tt\implies\:x+4x+5+5=60$

Proceeding with simple calculation

$\tt\implies\:5x+5+5=60$

$\tt\implies\:5x+10=60$

Transposing +10 to RHS it becomes -10

$\tt\implies\:5x=60-10$

$\tt\implies\:5x=50$

Transposing 5 to RHS it goes to the denominator

$\tt\implies\:x=\frac{50}{5}$

Reducing the fraction to the lower terms

$\tt\implies\:x=\cancel{\frac{50}{5}}$

$\small{\underline{\boxed{\mathrm{\implies\:x=10~yrs}}}}$ ✪

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So we got the value of x as 10 yrs .

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Therefore ,

❒ Present age of Sumit = $\large{\mathfrak\red{10~yrs}}$

❒ Present age of Sumit's mother = 4x = 4 × 10 = $\large{\mathfrak\red{40~yrs}}$

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