Question

Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has

Answer 1

Answer: Jack has 33 stamps and Dylan has 13 stamps .

Explanation:

Let x be the number of stamps Jack has and the number of stamps Dylan y.

`x-y=20----------------(1)\\\\ x+y=46-----------------(2)`

Adding equation (1) and (2), we get

`2x=66\\\\\Rightarrow\ x=(66)/(2)=33`

From (1), we have

`33-y=20\\\\\Rightarrow\ y=33-20=13`

Hence, Jack has 33 stamps and Dylan has 13 stamps .

Answer 2

The number of Jack's stamps is 33 and Dylan's stamps is 13

Explanation:

Let

x -----> the number of Jack's stamps

y -----> the number of Dylan's stamps

we know that

x+y=46 ----> equation A

x=y+20 -----> equation B

Solve by substitution

substitute equation B in equation A and solve for y

(y+20)+y=46

2y=46-20

2y=26

y=13 stamps

Fond the value of x

x=y+20 -----> x=13+20=33 stamps

therefore

The number of Jack's stamps is 33 and Dylan's stamps is 13