There are two numbers. the sum of the larger number and three times the smaller number is 14. the large number is two more than the smaller number. what is the larger number?

small number is 3

large number is 5

Step-by-step explanation:

Set up a system of equations and use substitution

x  is smaller number

y is larger number

y + 3x = 14

x + 2 = y

x + 2 +3x = 14

x = 3

Plug this into second equation

3 + 2 = y = 5

the answer is 21%.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)