Question

. Sum of two numbers is 25 times of their difference. Smaller number is 180. What is the bigger number
1) 195
2) 156
3) 220
4) 240
5)210​

Answer 1

Answer:

$\bold\green{Bigger\:number=1)195}$

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Let the smaller number be Y

Bigger number be X

According to question now:-

X + Y = 25 ( X - Y)

$\Rightarrow$ X + Y = 25X - 25Y

$\Rightarrow$ X - 25X = -25Y - Y

$\Rightarrow$ - 24X = - 26Y

$\Rightarrow$ - 24X = - 26 × 180

$\Rightarrow$ - 24X = - 4680

$\Rightarrow$ X = -4680/-24

$\Rightarrow$ X = 195

$\therefore$ Bigger number = 195

Hope it helps you ♥ ♥ ♥

Answer 2

$\huge{\underline{\underline{\mathfrak{Answer}}}}$

Let the smaller no. be Y and the bigger number be X.

_ ATQ,

$= > x + y = 25(x - y)$

$= > x + y = 25x - 25y$

$= > x - 25x = - 25y - y$

$= > - 24x = - 26y$

$= > - 24x = - 26 \times 180$

$= > x = \frac{ - 4680}{ - 24}$

$= > x = 195$

HENCE,

THE BIGGEST NUMBER IS 195.

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$\huge{\underline{\underline{\mathfrak{Thank you}}}}$