Question

The sum of two numbers is 824. If the larger number is 30 less than 6 times the smaller number, what are the numbers?

Answer 1

Answer:

702 and 122

Step-by-step explanation:

let the two numbers be a and b

According to question ,

if a is larger then , a = 6b - 30 -----------> (1)

Also given that ,

a + b = 824 -------------> (2)

Substitute a value of (1) in equation (2)

we get ,

( 6b - 30 ) + b = 824

7b - 30 = 824

7b = 824 + 30 = 854

b = 122

a = 6(122) - 30 = 732 - 30 = 702

therefore the numbers a and b are 702 and 122 respectively where a that is 702 is larger

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