Question

15% of a number is less than 25% of the same number by 8. Find the number.​

Answer 1

$\huge{\green{\underline{\underline{\overline{\tt{\diamond\; Solution:}}}}}}$

Let's

◕➜ The number be 'x'

Given that,

15% of x ☞ $\bold{\frac{15x}{100}}$

25% of x ☞ $\bold{\frac{25x}{100}}$

According To Sum

$→\;\Large{\sf{\frac{15x}{100} = \frac{25x}{100}-8}}$

$→\;\Large{\sf{\frac{15x}{100}-\frac{25x}{100} = -8}}$

$→\;\Large{\sf{\frac{15x-25x}{100} = -8}}$

$→\;\Large{\sf{-10x = -8×100}}$

$→\;\Large{\sf{x = \cancel{\frac{-800}{-10}}}}$

$→\;{\sf{x = 80}}$

.:. Unknown Number is $\fbox\red{80}$

Hope It Helps You ✌️

Answer 2

Answer:

Let's

◕➜ The number be 'x'

Given that,

15% of x ☞ \bold{\frac{15x}{100}}

100

15x

25% of x ☞ \bold{\frac{25x}{100}}

100

25x

According To Sum

→\;\Large{\sf{\frac{15x}{100} = \frac{25x}{100}-8}}→

100

15x

=

100

25x

−8

→\;\Large{\sf{\frac{15x}{100}-\frac{25x}{100} = -8}}→

100

15x

−

100

25x

=−8

→\;\Large{\sf{\frac{15x-25x}{100} = -8}}→

100

15x−25x

=−8

→\;\Large{\sf{-10x = -8×100}}→−10x=−8×100

→\;\Large{\sf{x = \cancel{\frac{-800}{-10}}}}→x=

−10

−800

→\;{\sf{x = 80}}→x=80

.:. Unknown Number is \fbox\red{80}

80

Hope It Helps You ✌️