Siw is a fourth as old as mother, and Mona is a fifth as old as mother. Mother is 22 years older than the two girls together. How old are they?

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

Step-by-step explanation:

Let

x ----> Siw's age

y ---> Mona's age

z ---> Mother's age

we know that

Siw is a fourth as old as mother

so

----> equation A

Mona is a fifth as old as mother

so

----> equation B

Mother is 22 years older than the two girls together.

so

----> equation C

substitute equation A and equation B in equation C

solve for z

Multiply by 20 both sides to remove the fraction

Find the value of x

Find the value of y

therefore

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

but there’s no any figure there!