Question

Acno when divided by 462 the remainder is 59 if that no divided by 14 the remainder

Answer 1

Let the number = x

when x divided by 462 the remainder is 59
assume quotient is m.

So x = 462m + 59

462 ÷ 14 = 33

So we can write

x = (33×14)m + 59

=> x = 33m × 14 + (56 + 3)

=> x = 33m × 14 + (14×4 + 3)

=> x = 14×(33m + 4) + 3

=> x = 14n + 3

Where n = 33m+4

So when x is divided by 14, remainder will be 3

because x = 14n + 3

Answer 2

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Let the number = x

when x divided by 462 the remainder is 59

assume quotient is m.

So x = 462m + 59

462 ÷ 14 = 33

So we can write

x = (33×14)m + 59

=> x = 33m × 14 + (56 + 3)

=> x = 33m × 14 + (14×4 + 3)

=> x = 14×(33m + 4) + 3

=> x = 14n + 3

Where n = 33m+4

So when x is divided by 14, remainder will be 3

because x = 14n + 3

HOPE SO IT WILL HELP......