Mrs. Garcia Is 30 Years Older Than Her Daughter Ramona. Sixteen Years Ago, Ramona Was Half Her Age She Is Today. How Long Will It Be Until Mrs. Garcia

mrs. garcia is 30 years older than her daughter ramona. sixteen years ago, ramona was half her age she is today. how long will it be until mrs. garcia is a 100 years old?

  Let x be the age of Mrs Garcia
y be Ramonas
x = y+30 --equation1
y-16 = x/2
x = 2(y-16)
x = 2y-32 --equation2
Substitute equation 2 to equation 1
2y-32 = y+30
2y-y=30+32
y=62
Substitute to equation1
x = y+30
x =62+30
x =92
100-92= 8 years from now Mrs, Garcia will be 100 years old