Ronan and Kelsey each think of a number.2 less than Ronan's number is equal to 4 lots of Kelsey's number3 lots of Ronan's number added to Kelsey's number is 97Using the information above, write and solve two simultaneous equations to work out Ronan and Kelsey's numbers.

Soluzione

R o nan an d Ke l sey e a c h t hink o f a n u mb er .2 l ess t han R o na n^{'} s n u mb er i s e q u a l t o 4 l o t s o f Ke l se y^{'} s n u mb er 3 l o t s o f R o na n^{'} s n u mb er a dd e d t o Ke l se y^{'} s n u mb er i s 97 U s in g t h e in f or ma t i o n ab o v e, w r i t e an d so l v e tw o s im u lt an eo u s e q u a t i o n s t o w or k o u t R o nan an d Ke l se y^{'} s n u mb ers .

The number : \frac{- 24 + 570}{6} or - \frac{24 + 570}{6}

Fasi della soluzione

Represent the number with

x

A.T.Q.:

x - 2 = 4 x \cdot 3 x + x \cdot 97

Risolvi per

x, x - 2 = 4 x \cdot 3 x + x \cdot 97 : x = \frac{- 24 + 570}{6}, x = - \frac{24 + 570}{6}

The number : \frac{- 24 + 570}{6} or - \frac{24 + 570}{6}