Question

The ratio of two numbers is 3 :4 and their sum is 420. find the greater number.

Answer 1

❍Let's says that the smaller number be 3x and greater number be 4x respectively.

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• We are provided with some values as ratio of two numbers is 3:4 and their sum is 420.We have to find greater number.

$\: \: \: \: \sf \: :\implies \: 3x + 4x = 420 \\ \\ \\ \: \: \: \sf \: : \implies \: 7x = 420 \\ \\ \\ \: \: \: \sf \: : \implies \: x = \cancel \frac{420}{7} \\ \\ \\ \: \: \: \sf \: : \implies \: x = 60$

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$\: \: \: \sf greater \: number = 4x \\ \\ \: \: \: \sf \: = 4 \times 60 \\ \\ \: \: \sf \: = 240$

$\therefore$$\sf \: hence \: greater \: number \: is \: 240.$