Question

what same number should be added to each one of the numbers 15, 23, 29, 44 to obtain numbers which are in proportion​

Answer 1

$\underline{\underline{\bold{Question:}}}$

What same number should be added to each one of the numbers 15, 23, 29, 44 to obtain numbers which are in proportion ?

$\tt{Solution:}\\\\\\\textsf{\tt{Let the number that should be added in each term be x.}}\\\\\\\bold{So}\\\\\\\tt{(15+x):(23+x)::(29+x):(44+x)}\\\\\\\implies\bold{\dfrac{15+x}{23+x}=\dfrac{29+x}{44+x}}\\\\\\\implies\bold{(15+x)(44+x)=(29+x)(23+x)}\\\\\\\implies\bold{660+15x+44x+x^2=667+29x+23x+x^2}\\\\\\\implies\bold{660+59x=667+52x}\\\\\\\implies\bold{59x-52x=667-660}\\\\\\\implies\bold{7x=7}\\\\\\\implies\bold{x=\dfrac{7}{7}=1.}$

$\boxed{\boxed{\textsf{The number that should be added = x = 1.}}}$​