Question

$N is shared between three people in the ratio of 2: 3: 7. The largest share is $540 more than the smallest share. Calculate the value of N.

Answer 1

Answer:

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Step-by-step explanation:

s= smallest share, l= largest share

\frac{s}{2}

2

s

=\frac{s+540}{7}

7

s+540

multiply by LCM 14 (by both sides of the equation)

so now the equation is

7s = 2(s+540)

7s = 2s + 1080

subtract 2s from both sides of the equation

so now we have:

5s = 1080

now we can divide the 5 from both sides

s = 216, which is the smallest share!

largest share ca be calculated by adding 540 to the smallest share

216+540 = 756

and from here, N equals £1296!