Question

Tom is twice as old as Shawn. Five years ago his age was three times Shawn’s age. Find their present age
​

Answer 1

Answer:

age =10

Step-by-step explanation:

y=2x

x =y÷2

y-5=3x

y-5=3×(y÷2)

2y-10=3y

y=10

Answer 2

ANSWER:

TOM’S AGE - 10

SHAWN’S AGE - 20

SOLVING A LINEAR EQUATION:

READING THE WORD PROBLEM

FINDING AN EQUALITY

WRITING IT IN FORM OF EQUATION

SOLVING THE EQUATION

WRITTING THE REQUIRED VALUE

STEP - BY - STEP EXPLANATION:

I AM TAKING YOUR EXAMPLE TO SHOW YOU HOW TO SOLVE

A LINEAR EQUATION

LET THE AGE OF SHAWN BE X

THE AGE OF TOM BE 2X

5 YEARS AGO,

SHAWN’S AGE - X - 5

TOM’S AGE - 2X - 5

A/Q,

=}2X - 5 = 3 ( X - 5 ) ( I AM MULTIPLYING 3 TO EQUALISE THE EQUATION WHICH IS ALSO GIVEN IN QUESTION)

=}2X - 5 = 3X - 15

=}2X - 3X = - 15 + 5

=}- X = - 10

=}- 1 X = - 10 { ( WE CAN MULTIPLY 1 WITHOUT ANY PROBLEM

BECAUSE IF WE MULTIPLY 1 TO ANY NUMBER THE RESULT

WILL BE SAME ) I AM SHOWING THESE PROCESS TO SHOW

YOU THAT IF THERE IS ‘-’ SIGN IN BOTH SIDES THEY WILL BE

CANCELLED}

=}X = - 10 / - 1

=}X = 10

THEREFORE ,

SHAWN’S AGE

=}X = 10

TOM’S AGE

=}2 × X

=}2 × 10 ( PUTTING THE VALUE OF X )

=}20

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