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Popular Word Problems >

The larger of two numbers is one more than twice the smaller. Three times the larger exceeds five times the smaller by ten. Find the numbers.

Solution

T h e l a r g er o f tw o n u mb ers i s o n e m ore t han tw i ce t h e s ma ll er . T h ree t im es t h e l a r g er e x cee d s f i v e t im es t h e s ma ll er b y t e n . F in d t h e n u mb ers .

Solution

The numbers : 15, 7

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 1 + 2 y

3 x = 5 y + 10

x = 1 + 2 y, 3 x = 5 y + 10 : x = 15, y = 7

The numbers : 15, 7

Popular Examples

Five times the difference of a number and 3.60% of what number is 48 4% of a number is 700 The sum of two numbers is 382 . Twice the larger number plus three times the smaller number is 952 . Find the numbers.Nine more than the product of a number and 8 is equal to 4