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Popular Word Problems >

the sum of two numbers is 35. three times the larger number is the same as 4 time the smaller number. find the larger number

Solution

t h e s u m o f tw o n u mb ers i s 35. t h ree t im es t h e l a r g er n u mb er i s t h e s am e a s 4 t im e t h e s ma ll er n u mb er . f in d t h e l a r g er n u mb er

Solution

The number : 20

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 35

3 x = 4 y

x + y = 35, 3 x = 4 y : x = 20, y = 15

The number : 20

Popular Examples

the quotient of a number and-7 decreased by 2 is 10 find the number The radius of a circle is 14 ft. Find its area in terms of twice number is less than 30 Isaac invested 1,800 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 15 years?The product of two consecutive integers is 240.