Question #b3388

1 Answer
sjc
Feb 25, 2018

#90+75=15xx11#

Explanation:

using the Euclidean algorithm

#90=75xx1+15---(1)#

#75=15xx5+0--(2)#

since the last non zero remainder is #15# the #GCF=15#

adding #(1)" & "(2)#

#90+75=75+15+15xx5#

substitute for #75" from "(2)#

#90+75=15xx5+15+15xx5#

factorise #RHS# using the #GCF#

#90+75=15(5+1+5)#

#90+75=15xx11#

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