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شائع Word Problems >

The difference between the squares of two consecutive numbers is 97 . What are the two numbers?

الحلّ

T h e d i ff ere n ce b e tw ee n t h e s q u a res o f tw o co n sec u t i v e n u mb ers i s 97 . Wha t a re t h e tw o n u mb ers ?

الحلّ

The numbers : - 49, - 48

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} - (x + 1)^{2} = 97

x^{2} - (x + 1)^{2} = 97

حلّ:

x = - 49

x + 1 = - 49 + 1 = - 48

The numbers : - 49, - 48

أمثلة شائعة

The sum of 4 consecutive odd numbers is 40 .Isaiah is going to invest in an account paying an interest rate of 4.9% compounded monthly. How much would Isaiah need to invest, to the nearest ten dollars, for the value of the account to reach 1,150 in 14 years?The radius of a circle is 14.5 cm. Find the circumference and round to the nearest tenth the product of 8 and a number Abigail invested 29,000 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?