College

To find [tex]$37-22$[/tex], Yuri can find the difference by adding 3 to both numbers. What should Yuri do next?

A. Subtract: [tex]$40-25=15$[/tex].

B. Subtract: [tex]$35-25=10$[/tex].

C. Subtract: [tex]$34-19=15$[/tex].

D. Add: [tex]$40+25=65$[/tex].

Answer :

To solve the problem, Yuri can use a strategy that makes the subtraction easier. Here's a step-by-step guide:

1. Initial Problem: Yuri wants to find the difference between 37 and 22, which is written as [tex]\(37 - 22\)[/tex].

2. Add 3 to Both Numbers:
- Start by adding 3 to both the numbers:
- 37 becomes [tex]\(37 + 3 = 40\)[/tex].
- 22 becomes [tex]\(22 + 3 = 25\)[/tex].

3. Subtract the New Numbers:
- Now, subtract the new numbers: [tex]\(40 - 25\)[/tex].
- This subtraction is easier to compute and gives us [tex]\(40 - 25 = 15\)[/tex].

So, the correct step for Yuri to take next is to subtract [tex]\(40 - 25 = 15\)[/tex].