One number is six more than a second number. Thrice the first is 6 less than 4 times the second. Find the numbers. Let x represent one number and y represent the second number. Translate the first fact into an equation. Fill in the blanks.

Solution

O n e n u mb er i s s i x m ore t han a seco n d n u mb er . T h r i ce t h e f i rs t i s 6 l ess t han 4 t im es t h e seco n d . F in d t h e n u mb ers . L e t x re p rese n t o n e n u mb er an d y re p rese n t t h e seco n d n u mb er . T r an s l a t e t h e f i rs t f a c t in t o an e q u a t i o n . F i ll in t h e b l ank s .

The numbers : 30, 24

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x = 6 + y

3 x = 4 y - 6

x = 6 + y, 3 x = 4 y - 6 : x = 30, y = 24

The numbers : 30, 24