Question

the ratio of ages of 2 brothers is 2:3.if the older brother is 27 years old, how old is the younger brother​

Answer 1

★ How to do :-

Here, we are given with the ratio of the ages of two brothers and also we are given with the age of the older brother i.e, 27 years. We are asked to find the age of the younger brother. In the ratio, the age of the older brother is represented by the digit 3, because he is older and the number three is also greater than the number two. Here, we are going to use the concepts of variables and transportation of numericals from one aide to other. So, let's solve!!

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➤ Solution :-

Ratio :-

${\tt \leadsto 2 : 3}$

Here, the ratio can be represented by a variable multiplying with them as 2x and 3x. We know that,

${\tt \leadsto 3x = 27}$

${\tt \leadsto x = \dfrac{27}{3}}$

${\tt \leadsto \cancel \dfrac{27}{3} = 9}$

${\tt \leadsto x = 9}$

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Now, we know that the value of x is 9. So, we can find the age of younger brother by multiplying the ratio part by x.

${\tt \leadsto 2x = 2 \times (x)}$

${\tt \leadsto 2 \times 9 = \boxed{\tt 18 \: \: years}}$

$\Huge\therefore$ The age of younger brother is 18.

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More to know :-

• Ratios are the symbolic form which are used to compare two or more values. It is represented by the symbol :
• Ratios can also be converted to percentage form by converting it first to fraction and then multiplying it by 100.
• Ratios can be converted to fractional form by writing its first number as numerator and second part as denominator.