Answer:
15
Step-by-step explanation:
Let the larger number be n if the smaller number is 10.
[tex]\rm 2:3 = 10:n[/tex]
Write it in fraction form
[tex]\rm \frac{2}{3} = \frac{10}{n}[/tex]
Cross multiply
[tex]\rm 2n = 30[/tex]
[tex]\rm n = \frac{30}{2}[/tex]
[tex]\boxed{\rm n = 15}}[/tex]
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