Question

today the ratio of the ages of desai and shinde is 4:3. Six years hence, Desai age is 26 years. How old is Shinde today? With steps​

Answer 1

Step-by-step explanation:

Let their ages be 4x and 3x respectively

4x+6=26

4x=26-6

4x=20

x=20/4=5

Shinde's age = 3×5=15 years

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Answer 2

Today Shinde is 15 years old.

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Let's understand a few concepts:

Let's say "x" years be the present age of a person.

We have "n" no. of years.

So,

The person's age after n years will be = (x + n) years

and

The person's age n years ago / n years back was = (x - n) years

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Let's solve the given problem:

The ratio of the present ages of Desai and Shinde = 4 : 3

So, let's say,

"4x" years → be Desai's present age

"3x" years → be Shinde's present age

6 years hence:

Desai's age will be = (4x + 6) years

But it is given that 6 years hence Desai's age is 26 years, so we can form an equation as,

$4x + 6 = 26$

$\implies 4x = 26 - 6$

$\implies 4x = 20$

$\implies x = \frac{20}{4}$

$\implies x = 5$

∴ Shinde's present age = $3x = 3 \times 5 = \bold{15 \:years }$

Thus, today Shinde is 15 years old.

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