Question

The difference between two numbers is 8. If 2 is added to the bigger number the result
will be three times the smaller number. Find the numbers.
What are those two numbers whose sum is 58 and difference is 28?
The sum of two consecutive odd numbers is 56. Find the numbers.
The sum of three consecutive multiples of 7 is 777. Find these multiples.
(Hint: Three consecutive multiples of 7 are 'x', 'x+7', *x+14)​

Answer 1

Solution

Let, two numbers are x and y , in which x is bigger

then,

→ difference of numbers = 8

→ x - y = 8

→ x = 8 + y   _____equation (1)

And,

→ bigger no. + 2 = 3 × smaller number

→ x + 2 = 3 y

using equation (1)

→ 8 + y + 2 = 3 y

→ 10 + y = 3 y

→ 10 = 2 y

→ y = 5

putting this value in equation (1)

→ x = 8 + y

→ x = 8 + ( 5 )

→ x = 13

Therefore,

Two numbers are 5 and 13 .