1. Linear word problems Two step

2. Let the number be x. The statement now becomes
Example1 :- A number divided by 4 and increased by 6 gives 10. Find the number.
Solution:
Let the number be x. The statement now becomes
Lets now rewrite statement as follows
A number x divided by 4 and increased by 6 gives 10
Lets us now write algebraic expression for the above statement and then solve it
Transposing + 6 from L.H.S to R.H.S
x = 4 x 4 = 16
Ans:- The number is 16
Transposing ÷ 4 from L.H.S to R.H.S

3. Example2 :- If 7 is subtracted from 5 times a number, the result is 63
Example2 :- If 7 is subtracted from 5 times a number, the result is 63. Find the number
Solution:
Let the number be x. The statement now becomes
Lets now rewrite statement as follows
If 7 is subtracted from 5 times a number x, the result is 63. Find the number Lets
us now write algebraic expression for the above statement and then solve it
5x – 7 = 63
5x = Transposing - 7 from L.H.S to R.H.S
5x = 70
x = 70 ÷ 5 Transposing x 5 from L.H.S to R.H.S
x =14
Ans:- The number is 14

4. Try these
If 40 is subtracted from a number, the result is 25. Find the number.
5 times a number decreased by 3 gives 28. Find the number.