Question

If your age and your Brother's are in the ratio of 4:3 and your Brother's age is 30 years, what is your age?​

Answer 1

➤ Given :-

Ratio of me and my brother :- 4:3

Age of the brother :- 30 years

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➤ To Find :-

The age of mine

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★ How to do :-

Here, we are given with a ratio of me and my brother's ages. The brother's age is also given i.e, 30 years. The given ratio is 4:3. We should find the age of me. In this ratio, the number 4 refers to my age and the number 3 refers to my brother's age. So, according to the ratio the number 3 represents 30. So, first we should convert that ratio given to the fractional format by replacing the first number as numerator and the second number as the denominator. The age should also be represented in the same manner. So, let's solve!!

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➤ Solution :-

${\tt \leadsto 4:3 = x:30}$

${\tt \leadsto \dfrac{4}{3} = \dfrac{x}{30}}$

We can find the value of 'x' by cross multiplication method.

${\tt \leadsto 4 \times 30 = 3 \times (x)}$

${\tt \leadsto 120 = 3 \times (x)}$

${\tt \leadsto 120 = 3x}$

${\tt \leadsto x = \dfrac{120}{3}}$

${\tt \leadsto \cancel \dfrac{120}{3} = \boxed{\tt x = 40}}$

$\Huge\therefore$ My age is 40 years.

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More to know :-

• Ratios are the easiest way to compare two values together. It's symbol is represented by a symbol as (:)
• The ratios can also be converted to fractions, decimals and percentage by using some specific methods.
• To convert ratio to fraction, just write the first number as numerator and the second number as denominator.
• To convert ratio to decimal, first convert it to fraction and then divide it.
• To convert ratio to percentage, first convert it to fraction and divide it by 100.