Question

When a certain number is divided by 24,36 or 50 the remainder is 3 in each case.find the number​

Answer 1

Answer:

$\color{orange}{1803}$

Step-by-step explanation:

Let the number be 'x'

Using the general formula

Divided number = (Quotient × Dividend) + Remainder

Where Quotient is an integer

When divided by 24..

x = 24P + 3

Where P is an integer

When divided by 36..

x = 30Q + 3

Where Q is an integer

When divided by 50..

x = 50R + 3

Where R is an integer

Therefore..

24P = 36Q = 50R

L.C.M of their co-oficients is 1800

$1800 \frac{P}{75} =1800 \frac{Q}{50} =1800 \frac{R}{36}$

$\frac{P}{75}=\frac{Q}{50} =\frac {R}{36}$

For smallest values for integers P, Q and R

P = 75, Q= 50 and R = 36

Substitute any of the values to find x

x = 24P + 3

x = 24(75) + 3

x = 1800 + 3

x = 1803

Hope it helps