Question

The sum of 3times age of the sun and the age of his father is 110.if 3times the age of his father added to the age of sun we got 170.find their ages​

Answer 1

Answer:

Explanation:

110 = f + 3*s — eq. 1

170 = s + 3*f — eq. 2

f = 110 - (3 *s) — eq. 1 rearranged

170 = s +3*(110 - 3*s) — eq. 1 plugged into eq. 2

170 = s +( 330 - 9*s) — eq. 2 reduced

170 = 330 - 8*s — eq. 2 reduced

8*s = = 330 - 170 — eq. 2 reduced

8*s = 160 — eq. 2 reduced

s = 160 / 8 — eq. 2 reduced

s = 20 — eq. 2 reduced - the son is 20 yrs old.

110 = f + 3 * 20 — plugging son’s age into eq. 1

f = 110 - 60 — eq. 1 reduced

f = 50 — eq. 1 reduced — the father is 50 yrs old

Answer 2

Answer:

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