What would be the equation to express Sarah's age if Sarah is 24 years younger than her mother and if the sum of their ages is 68?

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Answer 1 · 2018-08-05T02:35:36

$x + (x + 24) = 68, where 'x' is Sara's age$ $color(purple)(x + (x +24) = 68, color(magenta)(" where 'x' is Sara's age"$

$Sara's Age = x = 22 years$ $color(chocolate)("Sara's Age " = x = 22 " years"$

$Let Sara's age be x$ $"Let Sara's age be " color(crimson)(x)$

$Age of Sara's mother = x + 24$ $"Age of Sara's mother " = x + 24$

$:. x + (x +24) = 68$

$2x = 68 - 24 = 44$

$color(brown)("Sara's Age " x = 44/2 = 22 " years"$

Answer 2 · 2018-08-05T02:37:36

$2S + 24 = 68$ or

S = 22

let S = Sarah's age
Let M = Mother's age

S + M = 68
S + 24 = M

combining the two equations putting S + 24 for M gives

S + S + 24 = 68

Add the 2 S's and subtract the 24 from both sides

$S + S + 24 - 24 = 68 - 24$

This gives

$2S = 44$

divide both sides by 2

$2S/2 = 44/2$

S = 22