Question

in a Total numben of the boys and girls class is 180. If the number of girls is 10 more than that boys' find the number of boys and girls in that class ? ​

Answer 1

ᴬˢ ᵂᴱ ᴷᴺᴼᵂ ᵀᴴᴬᵀ ᵀᴴᴱ ᴿᴬᵀᴵᴼ ᴼᶠ ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴮᴼᵞˢ ᴬᴺᴰ ᴳᴵᴿᴸˢ ᴵᴺ ᵀᴴᴱ ᶜᴸᴬˢˢ ᴵˢ ᴳᴵᵛᴱᴺ ᴬˢ 7 : 5.

ˢᴼ, ᴵᶠ ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴮᴼᵞˢ ᴵᴺ ᴬ ᶜᴸᴬˢˢ ᵂᴱᴿᴱ 7ˣ.

ᵀᴴᴱᴺ ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴳᴵᴿᴸˢ ˢᴴᴼᵁᴸᴰ ᴮᴱ 5ˣ. ᴮᴱᶜᴬᵁˢᴱ ᵀᴴᴱᴵᴿ ᴿᴬᵀᴵᴼ ᴵˢ ᴳᴵᵛᴱᴺ ᴬˢ 7 : 5.

ˢᴼ, ᵀᴴᴱ ˢᵀᴿᴱᴺᴳᵀᴴ ᴼᶠ ᵀᴴᴱ ᶜᴸᴬˢˢ ᵂᴵᴸᴸ ᴮᴱ = ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴮᴼᵞˢ ᴵᴺ ᶜᴸᴬˢˢ + ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴳᴵᴿᴸˢ ᴵᴺ ᶜᴸᴬˢˢ = 7ˣ + 5ˣ = 12ˣ.

ᴺᴼᵂ, ᵂᴱ ᴷᴺᴼᵂ ᵀᴴᴬᵀ ᴵᵀ ᴵˢ ᴳᴵᵛᴱᴺ ᴵᴺ ᵀᴴᴱ ᵟᵁᴱˢᵀᴵᴼᴺ ᵀᴴᴬᵀ ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴮᴼᵞˢ ᴵˢ 8 ᴹᴼᴿᴱ ᵀᴴᴬᴺ ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴳᴵᴿᴸˢ.

ˢᴼ,

7ˣ – 5ˣ = 8

⇒⇒ 2ˣ = 8

ᴼᴺ ᴰᴵᵛᴵᴰᴵᴺᴳ ᴮᴼᵀᴴ ˢᴵᴰᴱˢ ᴼᶠ ᵀᴴᴱ ᴬᴮᴼᵛᴱ ᴱᵟᵁᴬᵀᴵᴼᴺ ᴮᵞ 2, ᵂᴱ ᴳᴱᵀ,

⇒⇒ ˣ = 4

ˢᴼ, ᵀᴴᴱ ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴮᴼᵞˢ ˢᴴᴼᵁᴸᴰ ᴮᴱ ᴱᵟᵁᴬᴸ ᵀᴼ 7ˣ =7*4 = 28.

ᴺᵁᴹᴮᴱᴿ ᴼᶠ ᴳᴵᴿᴸˢ ᵂᴵᴸᴸ ᴮᴱ ᴱᵟᵁᴬᴸ ᵀᴼ 5ˣ = 5*4 = 20

ᴬᴺᴰ ᵀᴴᴱ ˢᵀᴿᴱᴺᴳᵀᴴ ᴼᶠ ᵀᴴᴱ ᶜᴸᴬˢˢ ᵂᴵᴸᴸ ᴮᴱ 12ˣ = 12*4 = 48.

Answer 2

Answer:

Explanation:

⇝ Given:-

Total number of the boys and girls class = 180

Number of girls = number of boys + 10

⇝ Solution :-

Let the number of boys be x

And Girls be x + 10

So,

x + x + 10 = 180

2x + 10 = 180

2x = 180 - 10

$x = \frac{170}{2} </p><p>$

x = 85

Therefore, ⇝Number of boys in a class = 85

⇝ Number of girls in a class = 85 + 10

= 95

Hope it helps you